Finite Group Databasebeta

#342×Dic43 #25001798

order11008
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct product#342×Dic43

Splittings

SylowC43 ⋊ C4×#342

Subgroups

subgroupG/H
centerC23C22⋊C4×D43
commutatorC22×C43C43
FrattiniC25C22×D43
FittingC2×C43×#342C2
socleC23×C43C2×C22⋊C4
prime radical, cosocleC25×C43C23
hypercenterC2×#342D43
hypocenterC43C4×#342
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C25 ◁ C2×#342

1482 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 74769);