Finite Group Databasebeta

C8×C47⋊#95 #26121434

order12032
automorphism?
homologyAbelianization (H1) = C42×C8 · Schur multiplier (H2) = C23×C42

Aliases

direct productC8×C47⋊#95

Splittings

SylowC47 ⋊ C8×#95

Subgroups

subgroupG/H
centerC23×C8C2×D47
commutatorC2×C47C42×C8
FrattiniC23×C4C22×D47
FittingC22×C4×C8×C47C2
socle, prime radicalC24×C47C22×C4
cosocleC23×C4×C47C23
hypercenterC22×C4×C8D47
hypocenterC47C8×#95
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C23×C8 ◁ C22×C4×C8

1174 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3104 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 74724);