Extensions 1→N→G→Q→1 with N=C₄xHe₃ and Q=C₂

Direct product G=NxQ with N=C₄xHe₃ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xHe₃		72		C2xC4xHe3	216,74

Semidirect products G=N:Q with N=C₄xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xHe₃):₁C₂ = He₃:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	36	6+	(C4xHe3):1C2	216,51
(C₄xHe₃):₂C₂ = He₃:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	36	6	(C4xHe3):2C2	216,68
(C₄xHe₃):₃C₂ = C₄xC₃²:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	36	6	(C4xHe3):3C2	216,50
(C₄xHe₃):₄C₂ = C₄xHe₃:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	36	3	(C4xHe3):4C2	216,67
(C₄xHe₃):₅C₂ = D₄xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	36	6	(C4xHe3):5C2	216,77

Non-split extensions G=N.Q with N=C₄xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xHe₃).₁C₂ = He₃:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	72	6-	(C4xHe3).1C2	216,49
(C₄xHe₃).₂C₂ = He₃:₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	72	6	(C4xHe3).2C2	216,66
(C₄xHe₃).₃C₂ = He₃:₃C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	72	6	(C4xHe3).3C2	216,14
(C₄xHe₃).₄C₂ = He₃:₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	72	3	(C4xHe3).4C2	216,17
(C₄xHe₃).₅C₂ = Q₈xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₄xHe₃	72	6	(C4xHe3).5C2	216,80
(C₄xHe₃).₆C₂ = C₈xHe₃	φ: trivial image	72	3	(C4xHe3).6C2	216,19

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