Finite Group Databasebeta

D47×#2398 #26382545

order12032
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD47×#2398

Splittings

FittingC47×#2398 ⋊ C2
SylowC47 ⋊ C2×#2398

Subgroups

subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC47×#2398C2
prime radicalC22×D4×D47C22
hypercenter#2398D47
hypocenterC47C2×#2398
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2398

3246 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, 335835);