Finite Group Databasebeta

C2×#19132714 #25011537

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productC2×#19132714

Splittings

SylowC43 ⋊ C2×#1390

Subgroups

subgroupG/H
centerC23#13063239
commutatorC23×C43C2×C42
FrattiniC22×D4C22×D43
FittingC22×#100×C43C2
socleC23×C43#99
prime radicalC23×D4×C43C22
cosocleC22×D4×C43C23
hypercenterC22×#100D43
hypocenterC43C2×#1390
LCSG ▷ C23×C43 ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C24 ◁ C23×D4 ◁ C22×#100

1202 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

976 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84508);