Finite Group Databasebeta

D47×#1292 #26106220

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

Aliases

direct productD47×#1292

Splittings

FittingC47×#1292 ⋊ C2
SylowC47 ⋊ C2×#1292

Subgroups

subgroupG/H
centerC22#95×D47
commutatorC2×C4×C47C2×C42
FrattiniC2×C42C22×D47
FittingC47×#1292C2
socleC22×C47C2×#95
prime radicalC23×D47C4⋊C4
cosocleC2×C42×C47C23
hypercenter#1292D47
hypocenterC47C2×#1292
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1292

690 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

800 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 59510);