Finite Group Databasebeta

C23×C47⋊#95 #26374445

order12032
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C212

Aliases

direct productC23×C47⋊#95

Splittings

SylowC47 ⋊ C23×#95

Subgroups

subgroupG/H
centerC26C2×D47
commutatorC2×C47C23×C42
FrattiniC23C24×D47
FittingC25×C4×C47C2
socle, prime radicalC26×C47C22
cosocleC23×C47C25
hypercenterC25×C4D47
hypocenterC47C23×#95
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C26 ◁ C25×C4

14334 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, 327735);