Extensions 1→N→G→Q→1 with N=Q₈×C₉ and Q=C₆

Direct product G=N×Q with N=Q₈×C₉ and Q=C₆

		d	ρ	Label	ID
Q₈×C₃×C₁₈		432		Q8xC3xC18	432,406

Semidirect products G=N:Q with N=Q₈×C₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉)⋊₁C₆ = D₃₆.C₆	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	72	12+	(Q8xC9):1C6	432,163
(Q₈×C₉)⋊₂C₆ = Q₈×C₉⋊C₆	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	72	12-	(Q8xC9):2C6	432,370
(Q₈×C₉)⋊₃C₆ = D₃₆⋊₃C₆	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	72	12+	(Q8xC9):3C6	432,371
(Q₈×C₉)⋊₄C₆ = D₁₈.A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	72	12-	(Q8xC9):4C6	432,263
(Q₈×C₉)⋊₅C₆ = D₉×SL₂(𝔽₃)	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	72	4-	(Q8xC9):5C6	432,264
(Q₈×C₉)⋊₆C₆ = SD₁₆×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	72	6	(Q8xC9):6C6	432,220
(Q₈×C₉)⋊₇C₆ = C₁₈×SL₂(𝔽₃)	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₉	144		(Q8xC9):7C6	432,327
(Q₈×C₉)⋊₈C₆ = C₂×C₁₈.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₉	144		(Q8xC9):8C6	432,328
(Q₈×C₉)⋊₉C₆ = C₂×Q₈×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₉	144		(Q8xC9):9C6	432,408
(Q₈×C₉)⋊₁₀C₆ = C₄○D₄×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₉	72	6	(Q8xC9):10C6	432,411
(Q₈×C₉)⋊₁₁C₆ = C₃×Q₈⋊₂D₉	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9):11C6	432,157
(Q₈×C₉)⋊₁₂C₆ = C₃×Q₈×D₉	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9):12C6	432,364
(Q₈×C₉)⋊₁₃C₆ = C₃×Q₈⋊₃D₉	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9):13C6	432,365
(Q₈×C₉)⋊₁₄C₆ = SD₁₆×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₉	216		(Q8xC9):14C6	432,218
(Q₈×C₉)⋊₁₅C₆ = C₄○D₄×C₃×C₉	φ: trivial image	216		(Q8xC9):15C6	432,409

Non-split extensions G=N.Q with N=Q₈×C₉ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₉).₁C₆ = Dic₁₈.C₆	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	144	12-	(Q8xC9).1C6	432,162
(Q₈×C₉).₂C₆ = Dic₉.A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	144	12+	(Q8xC9).2C6	432,261
(Q₈×C₉).₃C₆ = Dic₉.₂A₄	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	144	4+	(Q8xC9).3C6	432,262
(Q₈×C₉).₄C₆ = Q₁₆×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Out Q₈×C₉	144	6	(Q8xC9).4C6	432,223
(Q₈×C₉).₅C₆ = C₂×Q₈⋊C₂₇	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₉	432		(Q8xC9).5C6	432,41
(Q₈×C₉).₆C₆ = Q₈.C₅₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₉	216	2	(Q8xC9).6C6	432,42
(Q₈×C₉).₇C₆ = C₉×C₄.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₉	144	2	(Q8xC9).7C6	432,329
(Q₈×C₉).₈C₆ = C₃₆.A₄	φ: C₆/C₂ → C₃ ⊆ Out Q₈×C₉	144	6	(Q8xC9).8C6	432,330
(Q₈×C₉).₉C₆ = C₃×C₉⋊Q₁₆	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₉	144	4	(Q8xC9).9C6	432,156
(Q₈×C₉).₁₀C₆ = SD₁₆×C₂₇	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₉	216	2	(Q8xC9).10C6	432,26
(Q₈×C₉).₁₁C₆ = Q₁₆×C₂₇	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₉	432	2	(Q8xC9).11C6	432,27
(Q₈×C₉).₁₂C₆ = Q₁₆×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Out Q₈×C₉	432		(Q8xC9).12C6	432,221
(Q₈×C₉).₁₃C₆ = Q₈×C₅₄	φ: trivial image	432		(Q8xC9).13C6	432,55
(Q₈×C₉).₁₄C₆ = C₄○D₄×C₂₇	φ: trivial image	216	2	(Q8xC9).14C6	432,56

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