Finite Group Databasebeta

C2×#19140007 #25266863

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

Aliases

direct productC2×#19140007

Splittings

SylowC43 ⋊ C2×#2586

Subgroups

subgroupG/H
centerC24C23×D43
commutator, cosocleC23×C43C25
FrattiniC23C24×D43
FittingC2×C43×#395C2
socle, prime radicalC24×C43C24
hypercenterC2×#395D43
hypocenterC43C2×#2586
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×#395

2182 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, 339834);