Extensions 1→N→G→Q→1 with N=C₂×He₃ and Q=C₄

Direct product G=N×Q with N=C₂×He₃ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×He₃		72		C2xC4xHe3	216,74

Semidirect products G=N:Q with N=C₂×He₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊C₄ = C₂×He₃⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×He₃	36	3	(C2xHe3):C4	216,100
(C₂×He₃)⋊₂C₄ = C₂×C₃²⋊C₁₂	φ: C₄/C₂ → C₂ ⊆ Out C₂×He₃	72		(C2xHe3):2C4	216,59
(C₂×He₃)⋊₃C₄ = C₂×He₃⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×He₃	72		(C2xHe3):3C4	216,71

Non-split extensions G=N.Q with N=C₂×He₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).C₄ = He₃⋊₂C₈	φ: C₄/C₁ → C₄ ⊆ Out C₂×He₃	72	3	(C2xHe3).C4	216,25
(C₂×He₃).₂C₄ = He₃⋊₃C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×He₃	72	6	(C2xHe3).2C4	216,14
(C₂×He₃).₃C₄ = He₃⋊₄C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×He₃	72	3	(C2xHe3).3C4	216,17
(C₂×He₃).₄C₄ = C₈×He₃	φ: trivial image	72	3	(C2xHe3).4C4	216,19

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