Finite Group Databasebeta

C22⋊C8×C47⋊C8 #26106745

order12032
automorphism?
homologyAbelianization (H1) = C2×C82 · Schur multiplier (H2) = C23×C8

Aliases

direct productC22⋊C8×C47⋊C8

Splittings

SylowC47 ⋊ C8×C22⋊C8

Subgroups

subgroupG/H
center, FrattiniC2×C42C22×D47
commutatorC2×C47C2×C82
FittingC4×C22⋊C8×C47C2
socleC23×C47C2×C42
prime radicalC24×C47C42
cosocleC2×C42×C47C23
hypercenterC4×C22⋊C8D47
hypocenterC47C8×C22⋊C8
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C42 ◁ C4×C22⋊C8

726 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, 60035);