Finite Group Databasebeta

C2×#20243005 #26203972

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

Aliases

direct productC2×#20243005

Splittings

SylowC47 ⋊ C2×#1713

Subgroups

subgroupG/H
centerC23#13094020
commutator, cosocleC42×C47C24
FrattiniC42C23×D47
FittingC2×C47×#500C2
socle, prime radicalC23×C47#127
hypercenterC2×#500D47
hypocenterC47C2×#1713
LCSG ▷ C42×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#500

878 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1088 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 157262);