Finite Group Databasebeta

C2×#19138737 #25264184

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19138737

Splittings

FittingC2×C43×#398 ⋊ C2
SylowC43 ⋊ C2×#2473

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#398C2
socleC24×C43C24
prime radicalC24×D43C23
hypercenterC2×#398D43
hypocenterC43C2×#2473
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#398

2942 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1000 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 337155);