Finite Group Databasebeta

C2×#19134112 #25079224

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

Aliases

direct productC2×#19134112

Splittings

SylowC43 ⋊ C2×#1694

Subgroups

subgroupG/H
centerC23#13063298
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C43×#332C2
socle, prime radicalC23×C43#121
hypercenterC2×#332D43
hypocenterC43C2×#1694
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#332

682 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, 152195);