Finite Group Databasebeta

C2×#20247350 #26384130

order12032
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#20247350

Splittings

SylowC47 ⋊ C2×#2461

Subgroups

subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
Fitting, prime radicalC2×C47×#392C2
socleC24×C47C24
hypercenterC2×#392D47
hypocenterC47C2×#2461
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#392

3786 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, 337420);