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

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

		d	ρ	Label	ID
C₂²×He₃		36		C2^2xHe3	108,30

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊₁C₂ = C₂×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃	18	6+	(C2xHe3):1C2	108,25
(C₂×He₃)⋊₂C₂ = C₂×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃	18	3	(C2xHe3):2C2	108,28

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).₁C₂ = C₃²⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃	36	6-	(C2xHe3).1C2	108,8
(C₂×He₃).₂C₂ = He₃⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×He₃	36	3	(C2xHe3).2C2	108,11
(C₂×He₃).₃C₂ = C₄×He₃	φ: trivial image	36	3	(C2xHe3).3C2	108,13

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