Finite Group Databasebeta

C2×#19133079 #25063683

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

Aliases

direct productC2×#19133079

Splittings

FittingC2×C43×#376 ⋊ C2
SylowC43 ⋊ C2×#1500

Subgroups

subgroupG/H
centerC22×C4(C2×D43)⋊C4
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC2×C43×#376C2
socleC23×C43C2×C22⋊C4
prime radicalC2×#13063299C22
cosocleC22×C4×C43C24
hypercenterC2×#376D43
hypocenterC43C2×#1500
LCSG ▷ C2×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C2×#376

1182 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1756 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 136654);