Finite Group Databasebeta

C2×#19134192 #25084246

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

Aliases

direct productC2×#19134192

Splittings

SylowC43 ⋊ C2×#1707

Subgroups

subgroupG/H
centerC23#13063322
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC2×C82×C43C2
socle, prime radicalC23×C43#127
hypercenterC2×C82D43
hypocenterC43C2×#1707
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C82

814 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, 157217);