Finite Group Databasebeta

C2×#19132805 #25017633

order11008
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C22

Aliases

direct productC2×#19132805

Splittings

FittingC2×C43×C64 ⋊ C2
SylowC43 ⋊ C2×M128

Subgroups

subgroupG/H
centerC2×C32C2×D43
commutatorC2×C43C22×C32
FrattiniC32C22×D43
FittingC2×C43×C64C2
socleC22×C43C2×C32
prime radicalC22×D43C32
cosocleC32×C43C23
hypercenterC2×C64D43
hypocenterC43C2×M128
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C32 ◁ C2×C64

134 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90604);