Finite Group Databasebeta

D47×#1443 #26137968

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

Aliases

direct productD47×#1443

Splittings

FittingC47×#1443 ⋊ C2
SylowC47 ⋊ C2×#1443

Subgroups

subgroupG/H
center, FrattiniC24C23×D47
commutatorC23×C47C23×C4
FittingC47×#1443C2
socle, cosocleC24×C47C24
prime radicalC24×D47C23
hypercenter#1443D47
hypocenterC47C2×#1443
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ #1443

2638 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 91258);