Extensions 1→N→G→Q→1 with N=C₄xD₉ and Q=C₂

Direct product G=NxQ with N=C₄xD₉ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xD₉		72		C2xC4xD9	144,38

Semidirect products G=N:Q with N=C₄xD₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₉):₁C₂ = D₄xD₉	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₉	36	4+	(C4xD9):1C2	144,41
(C₄xD₉):₂C₂ = D₄:₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₉	72	4-	(C4xD9):2C2	144,42
(C₄xD₉):₃C₂ = Q₈:₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₉	72	4+	(C4xD9):3C2	144,44
(C₄xD₉):₄C₂ = D₃₆:₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₉	72	2	(C4xD9):4C2	144,40

Non-split extensions G=N.Q with N=C₄xD₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₉).₁C₂ = Q₈xD₉	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₉	72	4-	(C4xD9).1C2	144,43
(C₄xD₉).₂C₂ = C₈:D₉	φ: C₂/C₁ → C₂ ⊆ Out C₄xD₉	72	2	(C4xD9).2C2	144,6
(C₄xD₉).₃C₂ = C₈xD₉	φ: trivial image	72	2	(C4xD9).3C2	144,5

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