Finite Group Databasebeta

D47×#1275 #26105692

order12032
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4

Aliases

direct productD47×#1275

Splittings

FittingC47×#1275 ⋊ C2
SylowC47 ⋊ C2×#1275

Subgroups

subgroupG/H
centerC2×C4C42×D47
commutatorC4×C47C2×C4×C8
FrattiniC2×C42C22×D47
FittingC47×#1275C2
socleC22×C47C2×#95
prime radicalC23×D47C4⋊C4
cosocleC2×C42×C47C23
hypercenter#1275D47
hypocenterC47C2×#1275
LCSG ▷ C4×C47 ▷ C47
UCSC1 ◁ C2×C4 ◁ #1275

678 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, 58982);