Finite Group Databasebeta

D47×#2238 #26371159

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

Aliases

direct productD47×#2238

Splittings

FittingC47×#2238 ⋊ C2
SylowC47 ⋊ C2×#2238

Subgroups

subgroupG/H
centerC2#481×D47
commutator, cosocleC2×C8×C47C24
FrattiniC2×C8C23×D47
FittingC47×#2238C2
socleC2×C47C2×#481
prime radical#469×D47C2
hypercenter#2238D47
hypocenterC47C2×#2238
LCSG ▷ C2×C8×C47 ▷ C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×M16 ◁ #2238

604 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

500 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 324449);