Finite Group Databasebeta

D47×#2275 #26374493

order12032
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD47×#2275

Splittings

FittingC47×#2275 ⋊ C2
SylowC47 ⋊ C2×#2275

Subgroups

subgroupG/H
center, FrattiniC23C24×D47
commutatorC2×C47C23×C42
FittingC47×#2275C2
socle, cosocleC23×C47C25
prime radicalC22×D4×D47C22
hypercenter#2275D47
hypocenterC47C2×#2275
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2275

4694 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1700 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 327783);