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

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

		d	ρ	Label	ID
C₆×He₃		54		C6xHe3	162,48

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊₁C₃ = C₂×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃	18	3	(C2xHe3):1C3	162,28
(C₂×He₃)⋊₂C₃ = C₂×He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃	54	3	(C2xHe3):2C3	162,30

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).C₃ = C₂×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃	54	3	(C2xHe3).C3	162,29
(C₂×He₃).₂C₃ = C₂×C₉○He₃	φ: trivial image	54	3	(C2xHe3).2C3	162,50

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