Finite Group Databasebeta

D47×#2402 #26382581

order12032
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C27

Aliases

direct productD47×#2402

Splittings

FittingC47×#2402 ⋊ C2
SylowC47 ⋊ C2×#2402

Subgroups

subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC47×#2402C2
prime radicalC23×D47C24
hypercenter#2402D47
hypocenterC47C2×#2402
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2402

2078 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, 335871);