Finite Group Databasebeta

D47×#1747 #26213779

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C42

Aliases

direct productD47×#1747

Splittings

FittingC47×#1747 ⋊ C2
SylowC47 ⋊ C2×#1747

Subgroups

subgroupG/H
centerC8C42×D47
commutatorC4×C47C22×C42
FrattiniC22×C4C23×D47
FittingC47×#1747C2
socleC2×C47C2×#376
prime radicalC23×D47#41
cosocleC22×C4×C47C24
hypercenter#1747D47
hypocenterC47C2×#1747
LCSG ▷ C4×C47 ▷ C47
UCSC1 ◁ C8 ◁ #1747

930 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, 167069);