Finite Group Databasebeta

D47×#2191 #26370165

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD47×#2191

Splittings

FittingC47×#2191 ⋊ C2
SylowC47 ⋊ C2×#2191

Subgroups

subgroupG/H
centerC2#447×D47
commutator, cosocleC2×C8×C47C24
FrattiniC2×C8C23×D47
FittingC47×#2191C2
socleC2×C47C2×#447
prime radical#575×D47C2
hypercenter#2191D47
hypocenterC47C2×#2191
LCSG ▷ C2×C8×C47 ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×M16 ◁ #2191

1128 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

500 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 323455);