Finite Group Databasebeta

C22×#95×D47 #26374444

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

Aliases

direct productC22×#95×D47

Splittings

FittingC22×#95×C47 ⋊ C2
SylowC47 ⋊ C23×#95

Subgroups

subgroupG/H
centerC25C22×D47
commutatorC2×C47C23×C42
FrattiniC23C24×D47
FittingC22×#95×C47C2
socleC25×C47C23
prime radicalC25×D47C22
cosocleC23×C47C25
hypercenterC22×#95D47
hypocenterC47C23×#95
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C25 ◁ C22×#95

14334 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, 327734);