Finite Group Databasebeta

D47×#1726 #26213603

order12032
automorphism?
homologyAbelianization (H1) = C2×C43 · Schur multiplier (H2) = C24×C42

Aliases

direct productD47×#1726

Splittings

FittingC47×#1726 ⋊ C2
SylowC47 ⋊ C2×#1726

Subgroups

subgroupG/H
centerC22×C8C22×D47
commutatorC2×C47C2×C43
FrattiniC22×C4C23×D47
FittingC47×#1726C2
socleC23×C47C23×C4
prime radicalC23×D47C22×C4
cosocleC22×C4×C47C24
hypercenter#1726D47
hypocenterC47C2×#1726
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C8 ◁ #1726

1614 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2000 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 166893);