Extensions 1→N→G→Q→1 with N=D₃₆⋊₅C₂ and Q=C₂

Direct product G=N×Q with N=D₃₆⋊₅C₂ and Q=C₂

		d	ρ	Label	ID
C₂×D₃₆⋊₅C₂		144		C2xD36:5C2	288,355

Semidirect products G=N:Q with N=D₃₆⋊₅C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆⋊₅C₂⋊₁C₂ = D₇₂⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	144	2	D36:5C2:1C2	288,115
D₃₆⋊₅C₂⋊₂C₂ = C₈⋊D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	72	4+	D36:5C2:2C2	288,118
D₃₆⋊₅C₂⋊₃C₂ = D₃₆⋊₆C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	72	4	D36:5C2:3C2	288,143
D₃₆⋊₅C₂⋊₄C₂ = D₄.₉D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	144	4	D36:5C2:4C2	288,161
D₃₆⋊₅C₂⋊₅C₂ = D₄⋊₆D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	72	4	D36:5C2:5C2	288,358
D₃₆⋊₅C₂⋊₆C₂ = Q₈.₁₅D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	144	4	D36:5C2:6C2	288,361
D₃₆⋊₅C₂⋊₇C₂ = C₄○D₄×D₉	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	72	4	D36:5C2:7C2	288,362
D₃₆⋊₅C₂⋊₈C₂ = D₄⋊₈D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	72	4+	D36:5C2:8C2	288,363
D₃₆⋊₅C₂⋊₉C₂ = D₄.₁₀D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	144	4-	D36:5C2:9C2	288,364

Non-split extensions G=N.Q with N=D₃₆⋊₅C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆⋊₅C₂.₁C₂ = C₄²⋊₄D₉	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	72	2	D36:5C2.1C2	288,12
D₃₆⋊₅C₂.₂C₂ = Dic₁₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	72	4	D36:5C2.2C2	288,32
D₃₆⋊₅C₂.₃C₂ = D₃₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	144	4	D36:5C2.3C2	288,117
D₃₆⋊₅C₂.₄C₂ = C₈.D₁₈	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	144	4-	D36:5C2.4C2	288,119
D₃₆⋊₅C₂.₅C₂ = C₃₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₃₆⋊₅C₂	144	4	D36:5C2.5C2	288,153
D₃₆⋊₅C₂.₆C₂ = D₃₆.₂C₄	φ: trivial image	144	2	D36:5C2.6C2	288,112

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