Finite Group Databasebeta

D47×#1283 #26105956

order12032
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24

Aliases

direct productD47×#1283

Splittings

FittingC47×#1283 ⋊ C2
SylowC47 ⋊ C2×#1283

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D47
commutatorC22×C47C2×C4×C8
FrattiniC2×C42C22×D47
FittingC47×#1283C2
socleC22×C47C2×#95
prime radicalC23×D47C42
cosocleC2×C42×C47C23
hypercenter#1283D47
hypocenterC47C2×#1283
LCSG ▷ C22×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1283

722 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, 59246);