Finite Group Databasebeta

D47×#1291 #26106188

order12032
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct productD47×#1291

Splittings

FittingC47×#1291 ⋊ C2
SylowC47 ⋊ C2×#1291

Subgroups

subgroupG/H
centerC22#95×D47
commutatorC2×C4×C47C2×C42
FrattiniC2×C42C22×D47
FittingC47×#1291C2
socleC22×C47C2×#95
prime radicalC23×D47C4⋊C4
cosocleC2×C42×C47C23
hypercenter#1291D47
hypocenterC47C2×#1291
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1291

610 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, 59478);