Finite Group Databasebeta

Q8×C47⋊#95 #26137764

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C27

Aliases

direct productQ8×C47⋊#95

Splittings

SylowC47 ⋊ Q8×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D47
commutatorC22×C47C22×C42
FittingC22×C4×Q8×C47C2
socle, prime radical, cosocleC24×C47C24
hypercenterC22×C4×Q8D47
hypocenterC47Q8×#95
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C4×Q8

2434 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1940 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 91054);