Finite Group Databasebeta

Q8×C43⋊C32 #25017228

order11008
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C22

Aliases

direct productQ8×C43⋊C32

Splittings

SylowC43 ⋊ Q8×C32

Subgroups

subgroupG/H
center, FrattiniC2×C16C22×D43
commutatorC2×C43C22×C32
FittingQ8×C16×C43C2
socle, prime radicalC22×C43C22×C16
cosocleC2×C16×C43C23
hypercenterQ8×C16D43
hypocenterC43Q8×C32
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C16 ◁ Q8×C16

166 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 90199);