Finite Group Databasebeta

D47×#1611 #26188504

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

Aliases

direct productD47×#1611

Splittings

FittingC47×#1611 ⋊ C2
SylowC47 ⋊ C2×#1611

Subgroups

subgroupG/H
centerC22#120×D47
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC47×#1611C2
socleC22×C47C2×#120
prime radicalC23×D47C2×D4
hypercenter#1611D47
hypocenterC47C2×#1611
LCSG ▷ C22×C4×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1611

1028 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

575 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 141794);