Finite Group Databasebeta

C23×C43⋊#95 #25254764

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C212

Aliases

direct productC23×C43⋊#95

Splittings

SylowC43 ⋊ C23×#95

Subgroups

subgroupG/H
centerC26C2×D43
commutatorC2×C43C23×C42
FrattiniC23C24×D43
FittingC25×C4×C43C2
socle, prime radicalC26×C43C22
cosocleC23×C43C25
hypercenterC25×C4D43
hypocenterC43C23×#95
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C26 ◁ C25×C4

14334 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, 327735);