Finite Group Databasebeta

C8×C43⋊#95 #25001753

order11008
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct productC8×C43⋊#95

Splittings

SylowC43 ⋊ C8×#95

Subgroups

subgroupG/H
centerC23×C8C2×D43
commutatorC2×C43C42×C8
FrattiniC23×C4C22×D43
FittingC22×C4×C8×C43C2
socle, prime radicalC24×C43C22×C4
cosocleC23×C4×C43C23
hypercenterC22×C4×C8D43
hypocenterC43C8×#95
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C23×C8 ◁ C22×C4×C8

1174 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 74724);