Finite Group Databasebeta

Q8×C47⋊C32 #26136909

order12032
automorphism?
homologyAbelianization (H1) = C22×C32 · Schur multiplier (H2) = C22

Aliases

direct productQ8×C47⋊C32

Splittings

SylowC47 ⋊ Q8×C32

Subgroups

subgroupG/H
center, FrattiniC2×C16C22×D47
commutatorC2×C47C22×C32
FittingQ8×C16×C47C2
socle, prime radicalC22×C47C22×C16
cosocleC2×C16×C47C23
hypercenterQ8×C16D47
hypocenterC47Q8×C32
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C16 ◁ Q8×C16

166 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 90199);