Finite Group Databasebeta

C2×#393×D47 #26382456

order12032
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C211

Aliases

direct productC2×#393×D47

Splittings

FittingC2×C47×#393 ⋊ C2
SylowC47 ⋊ C22×#393

Subgroups

subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#393C2
socleC24×C47C24
prime radicalC25×D47C22
hypercenterC2×#393D47
hypocenterC47C22×#393
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#393

7118 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 335746);