Finite Group Databasebeta

D43×C22⋊#95 #25017684

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C210

Aliases

direct productD43×C22⋊#95

Splittings

FittingC43×C22⋊#95 ⋊ C2
SylowC43 ⋊ C2×C22⋊#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D43
commutatorC22×C43C22×C42
FittingC43×C22⋊#95C2
socle, cosocleC24×C43C24
prime radicalC25×D43C22
hypercenterC22⋊#95D43
hypocenterC43C2×C22⋊#95
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C24 ◁ C22⋊#95

7630 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90655);