Finite Group Databasebeta

C2×#20249333 #26383429

order12032
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C26×C42

Aliases

direct productC2×#20249333

Splittings

SylowC47 ⋊ C2×#2641

Subgroups

subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
Fitting, prime radicalC22×#127×C47C2
socleC24×C47C24
hypercenterC22×#127D47
hypocenterC47C2×#2641
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×#127

3326 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1352 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 336719);