Finite Group Databasebeta

C22×#14582947 #25960289

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC22×#14582947

Splittings

SylowC43 ⋊ C22×#430

Subgroups

subgroupG/H
centerC22×C4C2×C22⋊D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC23×M16×C43C2
socleC23×C43C2×C4⋊C4
prime radicalC25×C43Q8
cosocleC2×C4×C43C25
hypercenterC23×M16D43
hypocenterC43C22×#430
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C24×C4 ◁ C23×M16

2718 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, 1033260);