Finite Group Databasebeta

#473×Dic47 #26223170

order12032
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#473×Dic47

Splittings

SylowC47 ⋊ C4×#473

Subgroups

subgroupG/H
centerC22#121×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC2×C47×#473C2
socleC22×C47C2×#121
prime radicalC2×#41×C47C23
cosocleC22×C4×C47C24
hypercenterC2×#473D47
hypocenterC47C4×#473
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#473

882 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

800 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 176460);