Finite Group Databasebeta

D47×#1453 #26181894

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C8

Aliases

direct productD47×#1453

Splittings

FittingC47×#1453 ⋊ C2
SylowC47 ⋊ C2×#1453

Subgroups

subgroupG/H
center, FrattiniC42C23×D47
commutator, socleC22×C47C22×C42
FittingC47×#1453C2
prime radicalC23×D47C42
cosocleC42×C47C24
hypercenter#1453D47
hypocenterC47C2×#1453
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C42 ◁ #1453

866 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 135184);