Finite Group Databasebeta

D47×#2262 #26374402

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD47×#2262

Splittings

FittingC47×#2262 ⋊ C2
SylowC47 ⋊ C2×#2262

Subgroups

subgroupG/H
centerC4D16×D47
commutator, cosocleC16×C47C24
FrattiniC16C23×D47
FittingC47×#2262C2
socleC2×C47C22×D16
hypercenter#2262D47
hypocenterC47C2×#2262
LCSG ▷ C16×C47 ▷ C8×C47 ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C4 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16 ◁ #2262

470 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

950 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 327692);