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

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

		d	ρ	Label	ID
C₆×He₃⋊C₂		54		C6xHe3:C2	324,145

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₂)⋊₁C₃ = C₂×C₃≀S₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₂	18	3	(C2xHe3:C2):1C3	324,68
(C₂×He₃⋊C₂)⋊₂C₃ = C₂×He₃.₂C₆	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₂	54	3	(C2xHe3:C2):2C3	324,72

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₂).C₃ = C₂×He₃.C₆	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₂	54	3	(C2xHe3:C2).C3	324,70
(C₂×He₃⋊C₂).₂C₃ = C₂×He₃.₄C₆	φ: trivial image	54	3	(C2xHe3:C2).2C3	324,148

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