Finite Group Databasebeta

C2×Dic43⋊#95 #25017700

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27×C4

Aliases

direct productC2×Dic43⋊#95

Splittings

SylowC43 ⋊ C2×C4⋊#95

Subgroups

subgroupG/H
centerC25C22×D43
commutatorC22×C43C22×C42
FrattiniC24C23×D43
FittingC22×#95×C43C2
socle, prime radicalC25×C43C23
cosocleC24×C43C24
hypercenterC22×#95D43
hypocenterC43C2×C4⋊#95
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C25 ◁ C22×#95

3854 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1792 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90671);