Finite Group Databasebeta

D47×#2273 #26374481

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

Aliases

direct productD47×#2273

Splittings

FittingC47×#2273 ⋊ C2
SylowC47 ⋊ C2×#2273

Subgroups

subgroupG/H
center, FrattiniC23C24×D47
commutatorC2×C47C23×C42
FittingC47×#2273C2
socle, cosocleC23×C47C25
prime radicalC25×D47C22
hypercenter#2273D47
hypocenterC47C2×#2273
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2273

5790 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, 327771);