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C4×C9×C43⋊C7 #24925415

order10836
isoclinismisoclinic class of C43⋊C7
automorphism?
homologyAbelianization (H1) = C4×C7×C9 · Schur multiplier (H2) = C1

Aliases

direct productC4×C9×C43⋊C7
unambiguous semidirect product(C4×C9×C43)⋊C7

Splittings

Fitting, HallC4×C9×C43 ⋊ C7
derived, SylowC43 ⋊ C4×C7×C9
HallC9×C43 ⋊ C4×C7
HallC4×C43 ⋊ C7×C9

Subgroups

subgroupG/H
center, hypercenterC4×C9C43⋊C7
commutator, hypocenterC43C4×C7×C9
FrattiniC2×C3C2×C3×C43⋊C7
FittingC4×C9×C43C7
socle, cosocleC2×C3×C43C2×C3×C7
prime radicalC2×C3×C43⋊C7C2×C3
LCSG ▷ C43
UCSC1 ◁ C4×C9

36 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

468 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(10836, 7);