Extensions 1→N→G→Q→1 with N=C₃²⋊₅D₈ and Q=C₂

Direct product G=N×Q with N=C₃²⋊₅D₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊₅D₈		144		C2xC3^2:5D8	288,760

Semidirect products G=N:Q with N=C₃²⋊₅D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₅D₈⋊₁C₂ = C₃²⋊₅D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	144		C3^2:5D8:1C2	288,274
C₃²⋊₅D₈⋊₂C₂ = C₂₄⋊₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	48	4+	C3^2:5D8:2C2	288,442
C₃²⋊₅D₈⋊₃C₂ = C₂₄⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	72		C3^2:5D8:3C2	288,765
C₃²⋊₅D₈⋊₄C₂ = C₃⋊D₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	48	4+	C3^2:5D8:4C2	288,194
C₃²⋊₅D₈⋊₅C₂ = C₃²⋊₇D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	144		C3^2:5D8:5C2	288,301
C₃²⋊₅D₈⋊₆C₂ = S₃×D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	48	4+	C3^2:5D8:6C2	288,441
C₃²⋊₅D₈⋊₇C₂ = D₆.₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	48	4+	C3^2:5D8:7C2	288,456
C₃²⋊₅D₈⋊₈C₂ = D₈×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	72		C3^2:5D8:8C2	288,767
C₃²⋊₅D₈⋊₉C₂ = C₂₄.₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	144		C3^2:5D8:9C2	288,776
C₃²⋊₅D₈⋊₁₀C₂ = C₂₄⋊₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	72		C3^2:5D8:10C2	288,771
C₃²⋊₅D₈⋊₁₁C₂ = C₂₄.₇₈D₆	φ: trivial image	144		C3^2:5D8:11C2	288,761

Non-split extensions G=N.Q with N=C₃²⋊₅D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊₅D₈.₁C₂ = C₆.D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	144		C3^2:5D8.1C2	288,275
C₃²⋊₅D₈.₂C₂ = C₂₄.₄₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	48	4+	C3^2:5D8.2C2	288,197
C₃²⋊₅D₈.₃C₂ = C₃²⋊₁₀SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃²⋊₅D₈	144		C3^2:5D8.3C2	288,303

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