Extensions 1→N→G→Q→1 with N=C₂×D₃₆ and Q=C₂

Direct product G=N×Q with N=C₂×D₃₆ and Q=C₂

		d	ρ	Label	ID
C₂²×D₃₆		144		C2^2xD36	288,354

Semidirect products G=N:Q with N=C₂×D₃₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₃₆)⋊₁C₂ = C₄²⋊₆D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36):1C2	288,84
(C₂×D₃₆)⋊₂C₂ = C₂²⋊₃D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	72		(C2xD36):2C2	288,92
(C₂×D₃₆)⋊₃C₂ = D₁₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36):3C2	288,94
(C₂×D₃₆)⋊₄C₂ = C₄⋊D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36):4C2	288,105
(C₂×D₃₆)⋊₅C₂ = C₂×D₇₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36):5C2	288,114
(C₂×D₃₆)⋊₆C₂ = C₃₆⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36):6C2	288,140
(C₂×D₃₆)⋊₇C₂ = C₈⋊D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	72	4+	(C2xD36):7C2	288,118
(C₂×D₃₆)⋊₈C₂ = C₂×D₄⋊D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36):8C2	288,142
(C₂×D₃₆)⋊₉C₂ = C₃₆⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36):9C2	288,150
(C₂×D₃₆)⋊₁₀C₂ = D₄⋊D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	72	4+	(C2xD36):10C2	288,160
(C₂×D₃₆)⋊₁₁C₂ = C₂×D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	72		(C2xD36):11C2	288,356
(C₂×D₃₆)⋊₁₂C₂ = C₂×Q₈⋊₃D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36):12C2	288,360
(C₂×D₃₆)⋊₁₃C₂ = D₄⋊₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	72	4+	(C2xD36):13C2	288,363
(C₂×D₃₆)⋊₁₄C₂ = C₂×D₃₆⋊₅C₂	φ: trivial image	144		(C2xD36):14C2	288,355

Non-split extensions G=N.Q with N=C₂×D₃₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×D₃₆).₁C₂ = C₂.D₇₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36).1C2	288,28
(C₂×D₃₆).₂C₂ = C₄²⋊₇D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36).2C2	288,85
(C₂×D₃₆).₃C₂ = D₁₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36).3C2	288,104
(C₂×D₃₆).₄C₂ = C₂×C₇₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36).4C2	288,113
(C₂×D₃₆).₅C₂ = C₁₈.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36).5C2	288,17
(C₂×D₃₆).₆C₂ = C₃₆.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	72	4+	(C2xD36).6C2	288,31
(C₂×D₃₆).₇C₂ = D₃₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36).7C2	288,103
(C₂×D₃₆).₈C₂ = C₂×Q₈⋊₂D₉	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36).8C2	288,152
(C₂×D₃₆).₉C₂ = C₃₆.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×D₃₆	144		(C2xD36).9C2	288,157
(C₂×D₃₆).₁₀C₂ = C₄×D₃₆	φ: trivial image	144		(C2xD36).10C2	288,83

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