Finite Group Databasebeta

C4×C43⋊#401 #25018460

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC4×C43⋊#401

Splittings

SylowC43 ⋊ C4×#401

Subgroups

subgroupG/H
centerC23×C4C22×D43
commutatorC23×C43C23×C4
FrattiniC24C23×D43
FittingC4×#95×C43C2
socle, prime radical, cosocleC24×C43C24
hypercenterC4×#95D43
hypocenterC43C4×#401
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23×C4 ◁ C4×#95

1222 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1768 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 91431);