Finite Group Databasebeta

D47×#1940 #26219545

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD47×#1940

Splittings

FittingC47×#1940 ⋊ C2
SylowC47 ⋊ C2×#1940

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#1940C2
prime radicalC23×D47C22×C4
cosocleC22×C4×C47C24
hypercenter#1940D47
hypocenterC47C2×#1940
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1940

1182 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, 172835);