Finite Group Databasebeta

D47×#2293 #26374632

order12032
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28×C4

Aliases

direct productD47×#2293

Splittings

FittingC47×#2293 ⋊ C2
SylowC47 ⋊ C2×#2293

Subgroups

subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC47×#2293C2
socle, cosocleC23×C47C25
prime radicalC22×D4×D47C22
hypercenter#2293D47
hypocenterC47C2×#2293
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #2293

3790 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 327922);