Finite Group Databasebeta

D47×#1374 #26131113

order12032
automorphism?
homologyAbelianization (H1) = C2×C4×C16 · Schur multiplier (H2) = C25

Aliases

direct productD47×#1374

Splittings

FittingC47×#1374 ⋊ C2
SylowC47 ⋊ C2×#1374

Subgroups

subgroupG/H
center, FrattiniC22×C8C22×D47
commutatorC2×C47C2×C4×C16
FittingC47×#1374C2
socleC23×C47C22×C8
prime radicalC23×D47C2×C8
cosocleC22×C8×C47C23
hypercenter#1374D47
hypocenterC47C2×#1374
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C8 ◁ #1374

726 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, 84403);