Extensions 1→N→G→Q→1 with N=C₄×C₃₆ and Q=C₂

Direct product G=N×Q with N=C₄×C₃₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₃₆		288		C2xC4xC36	288,164

Semidirect products G=N:Q with N=C₄×C₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₃₆)⋊₁C₂ = C₄²⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):1C2	288,86
(C₄×C₃₆)⋊₂C₂ = C₉×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):2C2	288,167
(C₄×C₃₆)⋊₃C₂ = C₉×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):3C2	288,176
(C₄×C₃₆)⋊₄C₂ = C₄²⋊₆D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):4C2	288,84
(C₄×C₃₆)⋊₅C₂ = C₄²⋊₇D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):5C2	288,85
(C₄×C₃₆)⋊₆C₂ = C₄²⋊₄D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	72	2	(C4xC36):6C2	288,12
(C₄×C₃₆)⋊₇C₂ = C₄×D₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):7C2	288,83
(C₄×C₃₆)⋊₈C₂ = C₄²×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):8C2	288,81
(C₄×C₃₆)⋊₉C₂ = C₄²⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):9C2	288,82
(C₄×C₃₆)⋊₁₀C₂ = C₉×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	72	2	(C4xC36):10C2	288,54
(C₄×C₃₆)⋊₁₁C₂ = D₄×C₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):11C2	288,168
(C₄×C₃₆)⋊₁₂C₂ = C₉×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):12C2	288,174
(C₄×C₃₆)⋊₁₃C₂ = C₉×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	144		(C4xC36):13C2	288,177

Non-split extensions G=N.Q with N=C₄×C₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₃₆).₁C₂ = C₉×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).1C2	288,47
(C₄×C₃₆).₂C₂ = C₃₆⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).2C2	288,79
(C₄×C₃₆).₃C₂ = C₃₆.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).3C2	288,80
(C₄×C₃₆).₄C₂ = C₃₆⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).4C2	288,11
(C₄×C₃₆).₅C₂ = C₄×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).5C2	288,78
(C₄×C₃₆).₆C₂ = C₄×C₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).6C2	288,9
(C₄×C₃₆).₇C₂ = C₄².D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).7C2	288,10
(C₄×C₃₆).₈C₂ = C₉×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).8C2	288,55
(C₄×C₃₆).₉C₂ = Q₈×C₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).9C2	288,169
(C₄×C₃₆).₁₀C₂ = C₉×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).10C2	288,175
(C₄×C₃₆).₁₁C₂ = C₉×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₃₆	288		(C4xC36).11C2	288,178

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