Finite Group Databasebeta

C22×#14583141 #25963696

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC22×#14583141

Splittings

FittingC22×#107×C43 ⋊ C2
SylowC43 ⋊ C22×#467

Subgroups

subgroupG/H
centerC24D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC22×#107×C43C2
socleC24×C43C2×D4
prime radicalC24×D43D4
hypercenterC22×#107D43
hypocenterC43C22×#467
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C24 ◁ C23×C4 ◁ C22×#107

3006 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1264 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1036667);