Extensions 1→N→G→Q→1 with N=C₃³⋊₈Q₈ and Q=C₂

Direct product G=N×Q with N=C₃³⋊₈Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊₈Q₈		432		C2xC3^3:8Q8	432,720

Semidirect products G=N:Q with N=C₃³⋊₈Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₈Q₈⋊₁C₂ = C₃³⋊₂₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	216		C3^3:8Q8:1C2	432,498
C₃³⋊₈Q₈⋊₂C₂ = C₃³⋊₁₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	144		C3^3:8Q8:2C2	432,441
C₃³⋊₈Q₈⋊₃C₂ = C₃³⋊₁₆SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	144		C3^3:8Q8:3C2	432,443
C₃³⋊₈Q₈⋊₄C₂ = C₃³⋊₂₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	216		C3^3:8Q8:4C2	432,508
C₃³⋊₈Q₈⋊₅C₂ = S₃×C₃²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	144		C3^3:8Q8:5C2	432,660
C₃³⋊₈Q₈⋊₆C₂ = (C₃×D₁₂)⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	144		C3^3:8Q8:6C2	432,661
C₃³⋊₈Q₈⋊₇C₂ = C₃⋊S₃×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	144		C3^3:8Q8:7C2	432,663
C₃³⋊₈Q₈⋊₈C₂ = C₁₂.₅₇S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	144		C3^3:8Q8:8C2	432,668
C₃³⋊₈Q₈⋊₉C₂ = C₆².₁₀₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	216		C3^3:8Q8:9C2	432,725
C₃³⋊₈Q₈⋊₁₀C₂ = Q₈×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	216		C3^3:8Q8:10C2	432,726
C₃³⋊₈Q₈⋊₁₁C₂ = C₆².₁₆₀D₆	φ: trivial image	216		C3^3:8Q8:11C2	432,723

Non-split extensions G=N.Q with N=C₃³⋊₈Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₈Q₈.₁C₂ = C₃³⋊₁₂Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	432		C3^3:8Q8.1C2	432,500
C₃³⋊₈Q₈.₂C₂ = C₃³⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	144		C3^3:8Q8.2C2	432,446
C₃³⋊₈Q₈.₃C₂ = C₃³⋊₈Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	144		C3^3:8Q8.3C2	432,447
C₃³⋊₈Q₈.₄C₂ = C₃³⋊₁₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈Q₈	432		C3^3:8Q8.4C2	432,510

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