Finite Group Databasebeta

C2×#19144333 #25964012

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19144333

Splittings

FittingC2×C43×#430 ⋊ C2
SylowC43 ⋊ C2×#3069

Subgroups

subgroupG/H
centerC22C2×#13063300
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#430C2
socleC22×C43C2×#121
prime radicalC2×#14583699C2
hypercenterC2×#430D43
hypocenterC43C2×#3069
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#430

2618 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, 1036983);