Finite Group Databasebeta

C2×#19134210 #25084288

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25×C8

Aliases

direct productC2×#19134210

Splittings

FittingC2×C82×C43 ⋊ C2
SylowC43 ⋊ C2×#1712

Subgroups

subgroupG/H
centerC23#13063322
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C82×C43C2
socleC23×C43#127
hypercenterC2×C82D43
hypocenterC43C2×#1712
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C82

1342 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2764 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 157259);