From Fedora Project Wiki

Core/Base groups

These two groups are very important since they have a very special meaning for anaconda. In particular, the @core group is always installed, no matter what, and @base requires the --nobase option to %packages to suppress.

@base

A first attempt of pruning @base resolves to 157 packages:

acl Access control list utilities. core
anacron A cron-like program that can run jobs lost during downtime. core
apmd Advanced Power Management (APM) BIOS utilities for laptops. core
aspell A spelling checker core
aspell-en English dictionaries for Aspell. core
at Job spooling tools. core
attr Utilities for managing filesystem extended attributes. core
autofs A tool for automatically mounting and unmounting filesystems. core
bc GNU's bc (a numeric processing language) and dc (a calculator). core
bluez-utils Bluetooth utilities core
ccid Generic USB CCID smart card reader driver core
coolkey CoolKey PKCS #11 module core
crash crash utility for live systems; netdump, diskdump, LKCD or mcore dumpfiles core
cryptsetup-luks A utility for setting up encrypted filesystems core
cyrus-sasl-plain PLAIN and LOGIN authentication support for Cyrus SASL. core
device-mapper-multipath Tools to manage multipath devices using device-mapper. core
diskdumputils diskdump utilities core
dmraid dmraid (Device-mapper RAID tool and library) core
dos2unix Text file format converter core
dosfstools Utilities for making and checking MS-DOS FAT filesystems on Linux. core
dump Programs for backing up and restoring ext2/ext3 filesystems core
eject A program that ejects removable media using software control. core
fbset Tools for managing a frame buffer's video mode properties. core
finger The finger client. core
ftp The standard UNIX FTP (File Transfer Protocol) client. core
gnupg A GNU utility for secure communication and data storage. core
gpm A mouse server for the Linux console. core
ipsec-tools Tools for configuring and using IPSEC core
iptstate A top-like display of IP Tables state table entries core
irda-utils Utilities for infrared communication between devices. core
jwhois Internet whois/nicname client core
krb5-workstation Kerberos 5 programs for use on workstations. core
ksh The Original ATT Korn Shell core
lftp A sophisticated file transfer program core
logrotate Rotates, compresses, removes and mails system log files. core
logwatch A log file analysis program core
lsof A utility which lists open files on a Linux/UNIX system. core
man A set of documentation tools: man, apropos and whatis. core
man-pages Man (manual) pages from the Linux Documentation Project. core
mkbootdisk Creates a boot floppy disk for booting a system. core
mlocate An utility for finding files by name core
mtools Programs for accessing MS-DOS disks without mounting the disks. core
mtr A network diagnostic tool. core
nano A small text editor core
nc Reads and writes data across network connections using TCP or UDP. core
netdump Client setup for network kernel message logging and crash dumps core
nss_db An NSS library for the Berkeley DB. core
nss_ldap NSS library and PAM module for LDAP. core
ntsysv A tool to set the stop/start of system services in a runlevel. core
pam_smb A Pluggable Authentication Module (PAM) for use with SMB servers. core
parted The GNU disk partition manipulation program. core
pax POSIX File System Archiver core
pcmciautils PCMCIA utilities and initialization programs core
pinfo An info file viewer. core
psacct Utilities for monitoring process activities core
quota System administration tools for monitoring users' disk usage. core
rdate Tool for getting the date/time from a remote machine. core
rdist Maintains identical copies of files on multiple machines. core
redhat-lsb LSB support for Red Hat Linux core
rng-utils Random number generator related utilities core
rp-pppoe A PPP over Ethernet client (for xDSL support). core
rsh Clients for remote access commands (rsh, rlogin, rcp). core
rsync A program for synchronizing files over a network. core
sendmail A widely used Mail Transport Agent (MTA). core
setarch Personality setter core
setuptool A text mode system configuration tool. core
specspo Fedora package descriptions, summaries, and groups. core
stunnel An SSL-encrypting socket wrapper core
sudo Allows restricted root access for specified users. core
symlinks A utility which maintains a system's symbolic links. core
sysreport Gathers system hardware and configuration information. core
system-config-network-tui The NEtwork Adminstration Tool core
system-config-securitylevel-tui A text interface for modifying the system security level core
talk Talk client for one-on-one Internet chatting. core
tcp_wrappers A security tool which acts as a wrapper for TCP daemons. core
tcpdump A network traffic monitoring tool core
tcsh An enhanced version of csh, the C shell core
telnet The client program for the telnet remote login protocol. core
time A GNU utility for monitoring a program's use of system resources. core
tmpwatch A utility for removing files based on when they were last accessed core
traceroute Traces the route taken by packets over an IPv4/IPv6 network core
tree A utility which displays a tree view of the contents of directories. core
unix2dos unix2dos - UNIX to DOS text file format converter core
unzip A utility for unpacking zip files. core
usbutils Linux USB utilities. core
vconfig Linux 802.1q VLAN configuration utility core
vixie-cron The Vixie cron daemon for executing specified programs at set times. core
wget A utility for retrieving files using the HTTP or FTP protocols. core
which Displays where a particular program in your path is located. core
wireless-tools Wireless ethernet configuration tools core
words A dictionary of English words for the /usr/share/dict directory. core
ypbind The NIS daemon which binds NIS clients to an NIS domain. core
yum-updatesd Update notification daemon core
zip A file compression and packaging utility compatible with PKZIP. core
NetworkManager Network connection manager and user applications core
acpid ACPI Event Daemon core
bzip2 A file compression utility core
cpuspeed CPU frequency adjusting daemon core
crontabs Root crontab files used to schedule the execution of programs. core
dhclient Provides the dhclient ISC DHCP client daemon and dhclient-script . core
dhcpv6_client DHCPv6 client core
firstboot-tui A text interface for firstboot core
irqbalance IRQ balancing daemon. core
libutempter A privileged helper for utmp/wtmp updates core
mailcap Associates helper applications with particular file types. core
mdadm mdadm controls Linux md devices (software RAID arrays) core
mgetty A getty replacement for use with data and fax modems. core
microcode_ctl Tool to update x86/x86-64 CPU microcode. core
nfs-utils NFS utlilities and supporting clients and daemons for the kernel NFS server. core
numactl library for tuning for Non Uniform Memory Access machines core
openssh-clients The OpenSSH client applications core
openssh-server The OpenSSH server daemon core
pam_ccreds Pam module to cache login credentials core
pam_krb5 A Pluggable Authentication Module for Kerberos 5. core
pam_passwdqc Pluggable password quality-control module. core
pam_pkcs11 PKCS #11/NSS PAM login module core
pciutils PCI bus related utilities. core
pm-utils Power management utilities and scripts for Fedora Core core
readahead Read a preset list of files into memory. core
smartmontools Tools for monitoring SMART capable hard disks core
yum RPM installer/updater core

@core

There seems little (sensible) slack in this group; the group as-is resolves to 118 packages

SysVinit Programs which control basic system processes. core
authconfig Command line tool for setting up authentication from network services core
basesystem The skeleton package which defines a simple Red Hat Linux system. core
bash The GNU Bourne Again shell (bash) version 3.2. core
coreutils The GNU core utilities: a set of tools commonly used in shell scripts core
cpio A GNU archiving program core
e2fsprogs Utilities for managing the second and third extended (ext2/ext3) filesystems core
ed The GNU line editor. core
fedora-logos Fedora-related icons and pictures core
fedora-release Fedora Core release files core
file A utility for determining file types. core
filesystem The basic directory layout for a Linux system. core
glibc The GNU libc libraries. core
glibc The GNU libc libraries. core
grub GRUB - the Grand Unified Boot Loader. core
hdparm A utility for displaying and/or setting hard disk parameters. core
initscripts The inittab file and the /etc/init.d scripts. core
iproute Advanced IP routing and network device configuration tools core
iputils Network monitoring tools including ping. core
kbd Tools for configuring the console (keyboard, virtual terminals, etc.) core
kudzu The Red Hat Linux hardware probing tool. core
libgcc GCC version 4.1 shared support library core
libtermcap A basic system library for accessing the termcap database. core
passwd The passwd utility for setting/changing passwords using PAM core
policycoreutils SELinux policy core utilities. core
prelink An ELF prelinking utility core
procps System and process monitoring utilities. core
readline A library for editing typed command lines. core
rootfiles The basic required files for the root user's directory. core
rpm The RPM package management system. core
selinux-policy-targeted SELinux targeted base policy core
setserial A utility for configuring serial ports. core
setup A set of system configuration and setup files. core
shadow-utils Utilities for managing accounts and shadow password files core
sysklogd System logging and kernel message trapping daemons core
termcap The terminal feature database used by certain applications. core
util-linux A collection of basic system utilities. core
vim-minimal A minimal version of the VIM editor. core