Finite Group Databasebeta

C2×#19135848 #25124378

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#19135848

Splittings

SylowC43 ⋊ C2×#2045

Subgroups

subgroupG/H
centerC23#13063296
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
Fitting, prime radicalC23×D8×C43C2
socleC23×C43#121
hypercenterC23×D8D43
hypocenterC43C2×#2045
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C23×D8

1586 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1228 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 197349);