Extensions 1→N→G→Q→1 with N=C₄×He₃ and Q=C₃

Direct product G=N×Q with N=C₄×He₃ and Q=C₃

		d	ρ	Label	ID
C₁₂×He₃		108		C12xHe3	324,106

Semidirect products G=N:Q with N=C₄×He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×He₃)⋊₁C₃ = C₄×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out C₄×He₃	36	3	(C4xHe3):1C3	324,31
(C₄×He₃)⋊₂C₃ = C₄×He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₄×He₃	108	3	(C4xHe3):2C3	324,33

Non-split extensions G=N.Q with N=C₄×He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×He₃).C₃ = C₄×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out C₄×He₃	108	3	(C4xHe3).C3	324,32
(C₄×He₃).₂C₃ = C₄×C₉○He₃	φ: trivial image	108	3	(C4xHe3).2C3	324,108

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Extensions 1→N→G→Q→1 with N=C4×He3 and Q=C3