Extensions 1→N→G→Q→1 with N=C₂²xHe₃ and Q=C₂

Direct product G=NxQ with N=C₂²xHe₃ and Q=C₂

		d	ρ	Label	ID
C₂³xHe₃		72		C2^3xHe3	216,115

Semidirect products G=N:Q with N=C₂²xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xHe₃):₁C₂ = D₄xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₂²xHe₃	36	6	(C2^2xHe3):1C2	216,77
(C₂²xHe₃):₂C₂ = He₃:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xHe₃	36	6	(C2^2xHe3):2C2	216,60
(C₂²xHe₃):₃C₂ = He₃:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xHe₃	36	6	(C2^2xHe3):3C2	216,72
(C₂²xHe₃):₄C₂ = C₂²xC₃²:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²xHe₃	36		(C2^2xHe3):4C2	216,110
(C₂²xHe₃):₅C₂ = C₂²xHe₃:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²xHe₃	36		(C2^2xHe3):5C2	216,113

Non-split extensions G=N.Q with N=C₂²xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²xHe₃).₁C₂ = C₂xC₃²:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²xHe₃	72		(C2^2xHe3).1C2	216,59
(C₂²xHe₃).₂C₂ = C₂xHe₃:₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²xHe₃	72		(C2^2xHe3).2C2	216,71
(C₂²xHe₃).₃C₂ = C₂xC₄xHe₃	φ: trivial image	72		(C2^2xHe3).3C2	216,74

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