Finite Group Databasebeta

C22×#14582733 #25254703

order11008
automorphism?
homologyAbelianization (H1) = C23×C16 · Schur multiplier (H2) = C25

Aliases

direct productC22×#14582733

Splittings

SylowC43 ⋊ C22×M64

Subgroups

subgroupG/H
centerC22×C16C2×D43
commutatorC2×C43C23×C16
FrattiniC16C23×D43
FittingC23×C16×C43C2
socleC23×C43C2×C16
prime radicalC24×C43C16
cosocleC16×C43C24
hypercenterC23×C16D43
hypocenterC43C22×M64
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C16 ◁ C23×C16

502 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2848 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 327674);