Finite Group Databasebeta

← Prev (#24925444) Next (#24925446) →

C2×C9×D43⋊C7 #24925445

order10836
automorphism?
homologyAbelianization (H1) = C22×C7×C9 · Schur multiplier (H2) = C2

Aliases

direct productC2×C9×D43⋊C7
unambiguous semidirect product(C2×C9×D43)⋊C7

Splittings

FittingC2×C9×C43 ⋊ C2×C7
derived, SylowC43 ⋊ C22×C7×C9
HallC9×C43⋊C7 ⋊ C22
HallC2×C9×D43 ⋊ C7
HallC9×C43 ⋊ C22×C7
HallC43⋊C7 ⋊ C22×C9
HallC2×D43 ⋊ C7×C9

Subgroups

subgroupG/H
center, hypercenterC2×C9D43⋊C7
commutator, hypocenterC43C22×C7×C9
FrattiniC3C2×C3×D43⋊C7
FittingC2×C9×C43C2×C7
socleC2×C3×C43C2×C3×C7
prime radicalC2×C3×D43⋊C7C3
cosocleC3×C43C22×C3×C7
LCSG ▷ C43
UCSC1 ◁ C2×C9

60 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, 37);