Finite Group Databasebeta

D47×#1440 #26137943

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C29

Aliases

direct productD47×#1440

Splittings

FittingC47×#1440 ⋊ C2
SylowC47 ⋊ C2×#1440

Subgroups

subgroupG/H
center, FrattiniC24C23×D47
commutatorC23×C47C23×C4
FittingC47×#1440C2
socle, cosocleC24×C47C24
prime radicalC25×D47C22
hypercenter#1440D47
hypocenterC47C2×#1440
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ #1440

4622 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, 91233);