Finite Group Databasebeta

D4×C43⋊#95 #25018067

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28

Aliases

direct productD4×C43⋊#95

Splittings

SylowC43 ⋊ D4×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC22×C4×D4×C43C2
socle, cosocleC24×C43C24
prime radicalC23×D4×C43C22
hypercenterC22×C4×D4D43
hypocenterC43D4×#95
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22×C4×D4

3562 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1780 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 91038);