Finite Group Databasebeta

D47×#1280 #26105864

order12032
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C25

Aliases

direct productD47×#1280

Splittings

FittingC47×#1280 ⋊ C2
SylowC47 ⋊ C2×#1280

Subgroups

subgroupG/H
centerC23C22⋊C4×D47
commutatorC22×C47C2×C4×C8
FrattiniC23×C4C22×D47
FittingC47×#1280C2
socleC23×C47C2×C22⋊C4
prime radicalC24×D47C2×C4
cosocleC23×C4×C47C23
hypercenter#1280D47
hypocenterC47C2×#1280
LCSG ▷ C22×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1280

1390 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, 59154);