Finite Group Databasebeta

C2×C47⋊#1304 #26106597

order12032
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C26

Aliases

direct productC2×C47⋊#1304
unambiguous semidirect product(C2×C47)⋊#1304

Splittings

SylowC47 ⋊ C2×#1304

Subgroups

subgroupG/H
centerC23C47⋊#95
commutatorC23×C47C2×C42
FrattiniC25C22×D47
FittingC2×C47×#379C2
socleC23×C47#95
prime radicalC26×C47C22
cosocleC25×C47C23
hypercenterC2×#379D47
hypocenterC47C2×#1304
LCSG ▷ C23×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C26 ◁ C2×#379

2414 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1340 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 59887);