Finite Group Databasebeta

C2×#19133962 #25078928

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

Aliases

direct productC2×#19133962

Splittings

SylowC43 ⋊ C2×#1670

Subgroups

subgroupG/H
centerC23#13063296
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×#494C2
socle, prime radicalC23×C43#121
hypercenterC2×#494D43
hypocenterC43C2×#1670
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#494

702 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

982 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 151899);