Extensions 1→N→G→Q→1 with N=C₃²⋊₅Q₁₆ and Q=C₂

Direct product G=N×Q with N=C₃²⋊₅Q₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊₅Q₁₆		288		C2xC3^2:5Q16	288,762

Semidirect products G=N:Q with N=C₃²⋊₅Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₅Q₁₆⋊₁C₂ = C₆.D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	144		C3^2:5Q16:1C2	288,275
C₃²⋊₅Q₁₆⋊₂C₂ = C₂₄.₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	96	4-	C3^2:5Q16:2C2	288,448
C₃²⋊₅Q₁₆⋊₃C₂ = C₂₄.₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	144		C3^2:5Q16:3C2	288,766
C₃²⋊₅Q₁₆⋊₄C₂ = C₃²⋊₃SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	96	4-	C3^2:5Q16:4C2	288,196
C₃²⋊₅Q₁₆⋊₅C₂ = C₃²⋊₈SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	144		C3^2:5Q16:5C2	288,302
C₃²⋊₅Q₁₆⋊₆C₂ = S₃×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	96	4-	C3^2:5Q16:6C2	288,447
C₃²⋊₅Q₁₆⋊₇C₂ = D₂₄⋊₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	96	4-	C3^2:5Q16:7C2	288,455
C₃²⋊₅Q₁₆⋊₈C₂ = C₂₄.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	144		C3^2:5Q16:8C2	288,769
C₃²⋊₅Q₁₆⋊₉C₂ = Q₁₆×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	144		C3^2:5Q16:9C2	288,774
C₃²⋊₅Q₁₆⋊₁₀C₂ = C₂₄.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	144		C3^2:5Q16:10C2	288,772
C₃²⋊₅Q₁₆⋊₁₁C₂ = C₂₄.₇₈D₆	φ: trivial image	144		C3^2:5Q16:11C2	288,761

Non-split extensions G=N.Q with N=C₃²⋊₅Q₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₅Q₁₆.₁C₂ = C₃²⋊₅Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	288		C3^2:5Q16.1C2	288,276
C₃²⋊₅Q₁₆.₂C₂ = C₃²⋊₃Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	96	4-	C3^2:5Q16.2C2	288,199
C₃²⋊₅Q₁₆.₃C₂ = C₃²⋊₇Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅Q₁₆	288		C3^2:5Q16.3C2	288,304

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