Finite Group Databasebeta

C2×#19136888 #25254705

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productC2×#19136888

Splittings

FittingC22×C32×C43 ⋊ C2
SylowC43 ⋊ C2×#2258

Subgroups

subgroupG/H
centerC2×C32C2×D43
commutatorC2×C43C23×C16
FrattiniC16C23×D43
FittingC22×C32×C43C2
socleC22×C43C22×C16
prime radicalC2×#10621898C8
cosocleC16×C43C24
hypercenterC22×C32D43
hypocenterC43C2×#2258
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C32 ◁ C22×C32

470 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, 327676);