Finite Group Databasebeta

C2×#386×D43 #25254906

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C212

Aliases

direct productC2×#386×D43

Splittings

FittingC2×C43×#386 ⋊ C2
SylowC43 ⋊ C22×#386

Subgroups

subgroupG/H
centerC24C23×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC2×C43×#386C2
socleC24×C43C24
prime radicalC23×D4×D43C2
cosocleC23×C43C25
hypercenterC2×#386D43
hypocenterC43C22×#386
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#386

11630 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 327877);