Finite Group Databasebeta

D47×C22⋊#95 #26137365

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C210

Aliases

direct productD47×C22⋊#95

Splittings

FittingC47×C22⋊#95 ⋊ C2
SylowC47 ⋊ C2×C22⋊#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D47
commutatorC22×C47C22×C42
FittingC47×C22⋊#95C2
socle, cosocleC24×C47C24
prime radicalC25×D47C22
hypercenterC22⋊#95D47
hypocenterC47C2×C22⋊#95
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22⋊#95

7630 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, 90655);