Finite Group Databasebeta

C2×#19140528 #25263033

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27×C4

Aliases

direct productC2×#19140528

Splittings

SylowC43 ⋊ C2×#2639

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
Fitting, prime radicalC22×#121×C43C2
socleC24×C43C24
hypercenterC22×#121D43
hypocenterC43C2×#2639
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×#121

3326 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1240 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 336004);