Finite Group Databasebeta

C2×#19134119 #25079133

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

Aliases

direct productC2×#19134119

Splittings

FittingC2×C43×#334 ⋊ C2
SylowC43 ⋊ C2×#1695

Subgroups

subgroupG/H
centerC23#13063300
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×#334C2
socleC23×C43#121
prime radicalC22×D172D4
hypercenterC2×#334D43
hypocenterC43C2×#1695
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#334

694 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1222 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 152104);