Extensions 1→N→G→Q→1 with N=C₄xD₉ and Q=C₆

Direct product G=NxQ with N=C₄xD₉ and Q=C₆

		d	ρ	Label	ID
D₉xC₂xC₁₂		144		D9xC2xC12	432,342

Semidirect products G=N:Q with N=C₄xD₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₉):₁C₆ = D₄xC₉:C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₉	36	12+	(C4xD9):1C6	432,362
(C₄xD₉):₂C₆ = Dic₁₈:₂C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₉	72	12-	(C4xD9):2C6	432,363
(C₄xD₉):₃C₆ = D₃₆:₃C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₉	72	12+	(C4xD9):3C6	432,371
(C₄xD₉):₄C₆ = D₃₆:₆C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₉	72	6	(C4xD9):4C6	432,355
(C₄xD₉):₅C₆ = C₂xC₄xC₉:C₆	φ: C₆/C₂ → C₃ ⊆ Out C₄xD₉	72		(C4xD9):5C6	432,353
(C₄xD₉):₆C₆ = C₃xD₄xD₉	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₉	72	4	(C4xD9):6C6	432,356
(C₄xD₉):₇C₆ = C₃xD₄:₂D₉	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₉	72	4	(C4xD9):7C6	432,357
(C₄xD₉):₈C₆ = C₃xQ₈:₃D₉	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₉	144	4	(C4xD9):8C6	432,365
(C₄xD₉):₉C₆ = C₃xD₃₆:₅C₂	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₉	72	2	(C4xD9):9C6	432,344

Non-split extensions G=N.Q with N=C₄xD₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₉).₁C₆ = Q₈xC₉:C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₉	72	12-	(C4xD9).1C6	432,370
(C₄xD₉).₂C₆ = C₇₂:C₆	φ: C₆/C₁ → C₆ ⊆ Out C₄xD₉	72	6	(C4xD9).2C6	432,121
(C₄xD₉).₃C₆ = C₈xC₉:C₆	φ: C₆/C₂ → C₃ ⊆ Out C₄xD₉	72	6	(C4xD9).3C6	432,120
(C₄xD₉).₄C₆ = C₃xQ₈xD₉	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₉	144	4	(C4xD9).4C6	432,364
(C₄xD₉).₅C₆ = C₃xC₈:D₉	φ: C₆/C₃ → C₂ ⊆ Out C₄xD₉	144	2	(C4xD9).5C6	432,106
(C₄xD₉).₆C₆ = D₉xC₂₄	φ: trivial image	144	2	(C4xD9).6C6	432,105

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