Finite Group Databasebeta

← Prev (#24925411) Next (#24925413) →

C9×Dic43⋊C7 #24925412

order10836
automorphism?
homologyAbelianization (H1) = C4×C7×C9 · Schur multiplier (H2) = C1

Aliases

direct productC9×Dic43⋊C7
unambiguous semidirect product(C9×Dic43)⋊C7

Splittings

derived, SylowC43 ⋊ C4×C7×C9
HallC9×C43⋊C7 ⋊ C4
HallC9×Dic43 ⋊ C7
HallC9×C43 ⋊ C4×C7
HallC43⋊C7 ⋊ C4×C9
HallDic43 ⋊ C7×C9

Subgroups

subgroupG/H
center, hypercenterC2×C9D43⋊C7
commutator, hypocenterC43C4×C7×C9
FrattiniC2×C3C3×D43⋊C7
FittingC2×C9×C43C2×C7
socle, cosocleC2×C3×C43C2×C3×C7
prime radicalC2×C3×C43⋊C7C2×C3
LCSG ▷ C43
UCSC1 ◁ C2×C9

36 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

306 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10836, 4);