Finite Group Databasebeta

C2×#20244947 #26246173

order12032
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#20244947

Splittings

SylowC47 ⋊ C2×#2099

Subgroups

subgroupG/H
centerC24C2×D188
commutator, cosocleC22×C4×C47C24
FrattiniC22×C4C23×D47
FittingC2×C47×#336C2
socle, prime radicalC24×C47C2×D4
hypercenterC2×#336D47
hypocenterC47C2×#2099
LCSG ▷ C22×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C42 ◁ C2×#336

998 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1904 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 199463);