Finite Group Databasebeta

C2×#19134078 #25079196

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

Aliases

direct productC2×#19134078

Splittings

FittingC2×C43×#331 ⋊ C2
SylowC43 ⋊ C2×#1688

Subgroups

subgroupG/H
centerC23#13063298
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×#331C2
socleC23×C43#121
prime radicalC2×#14583275C2
hypercenterC2×#331D43
hypocenterC43C2×#1688
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#331

850 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, 152167);