Finite Group Databasebeta

C2×C47⋊#2104 #26247266

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

Aliases

direct productC2×C47⋊#2104
unambiguous semidirect product(C2×C47)⋊#2104

Splittings

SylowC47 ⋊ C2×#2104

Subgroups

subgroupG/H
centerC22C47⋊#401
commutator, cosocleC24×C47C24
FrattiniC24C23×D47
FittingC2×C47×#342C2
socleC22×C47#401
prime radicalC25×C47C23
hypercenterC2×#342D47
hypocenterC47C2×#2104
LCSG ▷ C24×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C25 ◁ C2×#342

822 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1058 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 200556);