Finite Group Databasebeta

C2×C47⋊#1273 #26105657

order12032
automorphism?
homologyAbelianization (H1) = C2×C82 · Schur multiplier (H2) = C24×C4

Aliases

direct productC2×C47⋊#1273
unambiguous semidirect product(C2×C47)⋊#1273

Splittings

SylowC47 ⋊ C2×#1273

Subgroups

subgroupG/H
centerC22×C42C2×D47
commutatorC2×C47C2×C82
FrattiniC2×C42C22×D47
FittingC22×C4×C8×C47C2
socle, prime radicalC24×C47C42
cosocleC2×C42×C47C23
hypercenterC22×C4×C8D47
hypocenterC47C2×#1273
LCSG ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C42 ◁ C22×C4×C8

982 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3104 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 58947);