Finite Group Databasebeta

C2×#19135493 #25100571

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct productC2×#19135493

Splittings

FittingC2×C43×#405 ⋊ C2
SylowC43 ⋊ C2×#1976

Subgroups

subgroupG/H
centerC2×C4#13063299
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#405C2
socleC22×C43#390
prime radicalC22×#13063347C2
cosocleC22×C4×C43C24
hypercenterC2×#405D43
hypocenterC43C2×#1976
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#405

1474 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1744 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 173542);