Extensions 1→N→G→Q→1 with N=C₂²×C₃₆ and Q=C₂

Direct product G=N×Q with N=C₂²×C₃₆ and Q=C₂

		d	ρ	Label	ID
C₂³×C₃₆		288		C2^3xC36	288,367

Semidirect products G=N:Q with N=C₂²×C₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₃₆)⋊₁C₂ = C₂×D₁₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):1C2	288,137
(C₂²×C₃₆)⋊₂C₂ = C₂³.₂₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):2C2	288,139
(C₂²×C₃₆)⋊₃C₂ = C₂²⋊C₄×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):3C2	288,165
(C₂²×C₃₆)⋊₄C₂ = D₄×C₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):4C2	288,168
(C₂²×C₃₆)⋊₅C₂ = C₉×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):5C2	288,173
(C₂²×C₃₆)⋊₆C₂ = C₃₆⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):6C2	288,140
(C₂²×C₃₆)⋊₇C₂ = C₂²×D₃₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):7C2	288,354
(C₂²×C₃₆)⋊₈C₂ = C₂×D₃₆⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):8C2	288,355
(C₂²×C₃₆)⋊₉C₂ = C₄×C₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):9C2	288,138
(C₂²×C₃₆)⋊₁₀C₂ = C₂²×C₄×D₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):10C2	288,353
(C₂²×C₃₆)⋊₁₁C₂ = C₉×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):11C2	288,171
(C₂²×C₃₆)⋊₁₂C₂ = D₄×C₂×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):12C2	288,368
(C₂²×C₃₆)⋊₁₃C₂ = C₄○D₄×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36):13C2	288,370

Non-split extensions G=N.Q with N=C₂²×C₃₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₃₆).₁C₂ = C₁₈.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).1C2	288,38
(C₂²×C₃₆).₂C₂ = C₉×C₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).2C2	288,45
(C₂²×C₃₆).₃C₂ = C₉×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36).3C2	288,48
(C₂²×C₃₆).₄C₂ = C₂×Dic₉⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).4C2	288,133
(C₂²×C₃₆).₅C₂ = C₄⋊C₄×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).5C2	288,166
(C₂²×C₃₆).₆C₂ = C₃₆.₄₉D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36).6C2	288,134
(C₂²×C₃₆).₇C₂ = C₂×C₄⋊Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).7C2	288,135
(C₂²×C₃₆).₈C₂ = C₂²×Dic₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).8C2	288,352
(C₂²×C₃₆).₉C₂ = C₂×C₄.Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36).9C2	288,131
(C₂²×C₃₆).₁₀C₂ = C₂³.₂₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36).10C2	288,136
(C₂²×C₃₆).₁₁C₂ = C₃₆.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36).11C2	288,37
(C₂²×C₃₆).₁₂C₂ = C₂²×C₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).12C2	288,130
(C₂²×C₃₆).₁₃C₂ = C₂×C₄×Dic₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).13C2	288,132
(C₂²×C₃₆).₁₄C₂ = C₉×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36).14C2	288,167
(C₂²×C₃₆).₁₅C₂ = C₉×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36).15C2	288,172
(C₂²×C₃₆).₁₆C₂ = M₄(2)×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	144		(C2^2xC36).16C2	288,180
(C₂²×C₃₆).₁₇C₂ = Q₈×C₂×C₁₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₃₆	288		(C2^2xC36).17C2	288,369

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