Finite Group Databasebeta

C2×#20246114 #26375082

order12032
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4

Aliases

direct productC2×#20246114

Splittings

SylowC47 ⋊ C2×#2328

Subgroups

subgroupG/H
centerC24C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
Fitting, prime radicalC22×#127×C47C2
socleC24×C47C24
cosocleC23×C47C25
hypercenterC22×#127D47
hypocenterC47C2×#2328
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×#127

4430 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1376 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 328372);