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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×He₃)⋊₁C₂ = He₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	36	6+	(C4xHe3):1C2	216,51
(C₄×He₃)⋊₂C₂ = He₃⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	36	6	(C4xHe3):2C2	216,68
(C₄×He₃)⋊₃C₂ = C₄×C₃²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	36	6	(C4xHe3):3C2	216,50
(C₄×He₃)⋊₄C₂ = C₄×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	36	3	(C4xHe3):4C2	216,67
(C₄×He₃)⋊₅C₂ = D₄×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	36	6	(C4xHe3):5C2	216,77

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×He₃).₁C₂ = He₃⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	72	6-	(C4xHe3).1C2	216,49
(C₄×He₃).₂C₂ = He₃⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	72	6	(C4xHe3).2C2	216,66
(C₄×He₃).₃C₂ = He₃⋊₃C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	72	6	(C4xHe3).3C2	216,14
(C₄×He₃).₄C₂ = He₃⋊₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	72	3	(C4xHe3).4C2	216,17
(C₄×He₃).₅C₂ = Q₈×He₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×He₃	72	6	(C4xHe3).5C2	216,80
(C₄×He₃).₆C₂ = C₈×He₃	φ: trivial image	72	3	(C4xHe3).6C2	216,19

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