Extensions 1→N→G→Q→1 with N=C₂²xHe₃ and Q=C₃

Direct product G=NxQ with N=C₂²xHe₃ and Q=C₃

		d	ρ	Label	ID
C₂xC₆xHe₃		108		C2xC6xHe3	324,152

Semidirect products G=N:Q with N=C₂²xHe₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xHe₃):₁C₃ = He₃:A₄	φ: C₃/C₁ → C₃ ⊆ Out C₂²xHe₃	54	9	(C2^2xHe3):1C3	324,54
(C₂²xHe₃):₂C₃ = He₃:₂A₄	φ: C₃/C₁ → C₃ ⊆ Out C₂²xHe₃	36	9	(C2^2xHe3):2C3	324,55
(C₂²xHe₃):₃C₃ = C₂²xC₃wrC₃	φ: C₃/C₁ → C₃ ⊆ Out C₂²xHe₃	36		(C2^2xHe3):3C3	324,86
(C₂²xHe₃):₄C₃ = C₂²xHe₃:C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂²xHe₃	108		(C2^2xHe3):4C3	324,88
(C₂²xHe₃):₅C₃ = A₄xHe₃	φ: C₃/C₁ → C₃ ⊆ Out C₂²xHe₃	36	9	(C2^2xHe3):5C3	324,130

Non-split extensions G=N.Q with N=C₂²xHe₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xHe₃).₁C₃ = He₃.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₂²xHe₃	54	9	(C2^2xHe3).1C3	324,53
(C₂²xHe₃).₂C₃ = C₂²xHe₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂²xHe₃	108		(C2^2xHe3).2C3	324,87
(C₂²xHe₃).₃C₃ = He₃.₂A₄	φ: C₃/C₁ → C₃ ⊆ Out C₂²xHe₃	54	9	(C2^2xHe3).3C3	324,129
(C₂²xHe₃).₄C₃ = C₂²xC₉oHe₃	φ: trivial image	108		(C2^2xHe3).4C3	324,154

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