Finite Group Databasebeta

D47×#1383 #26131177

order12032
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productD47×#1383

Splittings

FittingC47×#1383 ⋊ C2
SylowC47 ⋊ C2×#1383

Subgroups

subgroupG/H
centerC22#106×D47
commutatorC8×C47C2×C42
FrattiniC22×C8C22×D47
FittingC47×#1383C2
socleC22×C47C2×#106
prime radicalC23×D47SD16
cosocleC22×C8×C47C23
hypercenter#1383D47
hypocenterC47C2×#1383
LCSG ▷ C8×C47 ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×C8 ◁ #1383

614 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

800 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 84467);