Finite Group Databasebeta

C2×#19144915 #25965797

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

Aliases

direct productC2×#19144915

Splittings

FittingC2×C43×#416 ⋊ C2
SylowC43 ⋊ C2×#3131

Subgroups

subgroupG/H
centerC22×C4D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#416C2
socleC23×C43C22×D4
prime radicalC2×#14583445C2
hypercenterC2×#416D43
hypocenterC43C2×#3131
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C23×C4 ◁ C2×#416

2222 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, 1038768);