Finite Group Databasebeta

C2×#20241297 #26106640

order12032
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct productC2×#20241297

Splittings

SylowC47 ⋊ C2×#1306

Subgroups

subgroupG/H
centerC23C47⋊#95
commutatorC23×C47C2×C42
FrattiniC23×C4C22×D47
FittingC2×C47×#407C2
socleC23×C47#95
prime radicalC25×C47C2×C4
cosocleC23×C4×C47C23
hypercenterC2×#407D47
hypocenterC47C2×#1306
LCSG ▷ C23×C47 ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ C24×C4 ◁ C2×#407

942 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, 59930);