Finite Group Databasebeta

C22×#99×D43 #25960056

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C211

Aliases

direct productC22×#99×D43

Splittings

FittingC22×#99×C43 ⋊ C2
SylowC43 ⋊ C23×#99

Subgroups

subgroupG/H
centerC23C22⋊C4×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC22×#99×C43C2
socleC23×C43C2×C22⋊C4
prime radicalC23×D4×D43C2
cosocleC23×C43C25
hypercenterC22×#99D43
hypocenterC43C23×#99
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C25 ◁ C22×#99

7902 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033027);