Finite Group Databasebeta

D47×#2108 #26368910

order12032
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C4

Aliases

direct productD47×#2108

Splittings

FittingC47×#2108 ⋊ C2
SylowC47 ⋊ C2×#2108

Subgroups

subgroupG/H
centerC2×C16C22×D47
commutatorC2×C47C22×C4×C8
FrattiniC2×C8C23×D47
FittingC47×#2108C2
socleC22×C47C23×C8
prime radicalC23×D47C2×C8
cosocleC2×C8×C47C24
hypercenter#2108D47
hypocenterC47C2×#2108
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C16 ◁ #2108

854 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 322200);