Finite Group Databasebeta

C22×#15689064 #26382514

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

Aliases

direct productC22×#15689064

Splittings

SylowC47 ⋊ C22×#400

Subgroups

subgroupG/H
centerC25C22×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC22×#95×C47C2
socle, prime radicalC25×C47C23
hypercenterC22×#95D47
hypocenterC47C22×#400
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C25 ◁ C22×#95

3550 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1928 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 335804);