Extensions 1→N→G→Q→1 with N=C₂×He₃⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₂×He₃⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂²×He₃⋊C₃		108		C2^2xHe3:C3	324,88

Semidirect products G=N:Q with N=C₂×He₃⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₃)⋊₁C₂ = C₂×He₃.₂C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₃	54	3	(C2xHe3:C3):1C2	324,72
(C₂×He₃⋊C₃)⋊₂C₂ = C₂×He₃.₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₃	54	6+	(C2xHe3:C3):2C2	324,73
(C₂×He₃⋊C₃)⋊₃C₂ = C₂×He₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₃	54	6+	(C2xHe3:C3):3C2	324,79

Non-split extensions G=N.Q with N=C₂×He₃⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₃).₁C₂ = He₃.₂C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₃	108	3	(C2xHe3:C3).1C2	324,17
(C₂×He₃⋊C₃).₂C₂ = He₃.₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₃	108	6-	(C2xHe3:C3).2C2	324,18
(C₂×He₃⋊C₃).₃C₂ = He₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃⋊C₃	108	6-	(C2xHe3:C3).3C2	324,24
(C₂×He₃⋊C₃).₄C₂ = C₄×He₃⋊C₃	φ: trivial image	108	3	(C2xHe3:C3).4C2	324,33

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