Extensions 1→N→G→Q→1 with N=C₉×C₃⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₉×C₃⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₁₈×C₃⋊C₈		144		C18xC3:C8	432,126

Semidirect products G=N:Q with N=C₉×C₃⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₃⋊C₈)⋊₁C₂ = C₃⋊D₇₂	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	72	4+	(C9xC3:C8):1C2	432,64
(C₉×C₃⋊C₈)⋊₂C₂ = D₃₆.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	144	4-	(C9xC3:C8):2C2	432,62
(C₉×C₃⋊C₈)⋊₃C₂ = C₆.D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	72	4+	(C9xC3:C8):3C2	432,63
(C₉×C₃⋊C₈)⋊₄C₂ = D₉×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	144	4	(C9xC3:C8):4C2	432,58
(C₉×C₃⋊C₈)⋊₅C₂ = C₃₆.₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	72	4	(C9xC3:C8):5C2	432,59
(C₉×C₃⋊C₈)⋊₆C₂ = C₃₆.₃₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	144	4	(C9xC3:C8):6C2	432,60
(C₉×C₃⋊C₈)⋊₇C₂ = C₃₆.₄₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	72	4	(C9xC3:C8):7C2	432,61
(C₉×C₃⋊C₈)⋊₈C₂ = C₉×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	72	4	(C9xC3:C8):8C2	432,150
(C₉×C₃⋊C₈)⋊₉C₂ = C₉×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	72	4	(C9xC3:C8):9C2	432,151
(C₉×C₃⋊C₈)⋊₁₀C₂ = C₉×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	144	4	(C9xC3:C8):10C2	432,158
(C₉×C₃⋊C₈)⋊₁₁C₂ = C₉×C₈⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	144	2	(C9xC3:C8):11C2	432,110
(C₉×C₃⋊C₈)⋊₁₂C₂ = C₉×C₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	72	2	(C9xC3:C8):12C2	432,127
(C₉×C₃⋊C₈)⋊₁₃C₂ = S₃×C₇₂	φ: trivial image	144	2	(C9xC3:C8):13C2	432,109

Non-split extensions G=N.Q with N=C₉×C₃⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₉×C₃⋊C₈).₁C₂ = C₃⋊Dic₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	144	4-	(C9xC3:C8).1C2	432,65
(C₉×C₃⋊C₈).₂C₂ = C₉×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₉×C₃⋊C₈	144	4	(C9xC3:C8).2C2	432,159

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