Finite Group Databasebeta

D47×#1870 #26217398

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD47×#1870

Splittings

FittingC47×#1870 ⋊ C2
SylowC47 ⋊ C2×#1870

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D47
commutator, socleC23×C47C23×C4
FittingC47×#1870C2
prime radicalC22×D4×D47C4
cosocleC22×C4×C47C24
hypercenter#1870D47
hypocenterC47C2×#1870
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ #1870

2286 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 170688);