Finite Group Databasebeta

C2×#19143456 #25960735

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19143456

Splittings

FittingC2×C43×#405 ⋊ C2
SylowC43 ⋊ C2×#2949

Subgroups

subgroupG/H
centerC23C22×D172
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#405C2
socleC23×C43C22×D4
prime radicalC23×D172C22
cosocleC2×C4×C43C25
hypercenterC2×#405D43
hypocenterC43C2×#2949
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#405

2870 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033706);