Finite Group Databasebeta

#446×Dic47 #26214902

order12032
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C4

Aliases

direct product#446×Dic47

Splittings

SylowC47 ⋊ C4×#446

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D47
commutatorC22×C47C22×C42
FittingC2×C47×#446C2
socle, prime radicalC23×C47C23×C4
cosocleC22×C4×C47C24
hypercenterC2×#446D47
hypocenterC47C4×#446
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×#446

958 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1400 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(12032, 168192);