Finite Group Databasebeta

D47×#1454 #26181900

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C4

Aliases

direct productD47×#1454

Splittings

FittingC47×#1454 ⋊ C2
SylowC47 ⋊ C2×#1454

Subgroups

subgroupG/H
center, FrattiniC42C23×D47
commutator, socleC22×C47C22×C42
FittingC47×#1454C2
prime radicalC23×D47C42
cosocleC42×C47C24
hypercenter#1454D47
hypocenterC47C2×#1454
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C42 ◁ #1454

802 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, 135190);