C₄₃⋊C₃×C₂₈₃ #49140997

order	36507
automorphism	?
homology	Abelianization (H₁) = C₃×C₂₈₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₄₃⋊C₃×C₂₈₃
unambiguous semidirect product	C₄₃⋊(C₃×C₂₈₃)

Fitting, socle, Hall	C₄₃×C₂₈₃ ⋊ C₃
derived, Sylow	C₄₃ ⋊ C₃×C₂₈₃

	subgroup	G/H
center, hypercenter	C₂₈₃	C₄₃⋊C₃
commutator, cosocle, hypocenter	C₄₃	C₃×C₂₈₃
Frattini	C₁	G
Fitting, socle	C₄₃×C₂₈₃	C₃
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₂₈₃

8 conjugacy classes of subgroups.

μ_t(G) = 12169

4811 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36507, 1);