Finite Group Databasebeta

C2×#19134126 #25079144

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct productC2×#19134126

Splittings

SylowC43 ⋊ C2×#1697

Subgroups

subgroupG/H
centerC23#13063297
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
Fitting, prime radicalC2×C43×#459C2
socleC23×C43#121
hypercenterC2×#459D43
hypocenterC43C2×#1697
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#459

778 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

844 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 152115);