Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Q₈

Direct product G=N×Q with N=C₁₂ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₁₂		96		Q8xC12	96,166

Semidirect products G=N:Q with N=C₁₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊Q₈ = C₁₂⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₁₂	96		C12:Q8	96,95
C₁₂⋊₂Q₈ = C₁₂⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12:2Q8	96,76
C₁₂⋊₃Q₈ = C₄×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12:3Q8	96,75
C₁₂⋊₄Q₈ = C₃×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12:4Q8	96,175

Non-split extensions G=N.Q with N=C₁₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁Q₈ = C₆.Q₁₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₁₂	96		C12.1Q8	96,14
C₁₂.₂Q₈ = C₁₂.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₁₂	96		C12.2Q8	96,15
C₁₂.₃Q₈ = C₄.Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₁₂	96		C12.3Q8	96,97
C₁₂.₄Q₈ = C₈⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.4Q8	96,24
C₁₂.₅Q₈ = C₂₄⋊₁C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.5Q8	96,25
C₁₂.₆Q₈ = C₁₂.₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.6Q8	96,77
C₁₂.₇Q₈ = C₁₂⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.7Q8	96,11
C₁₂.₈Q₈ = Dic₃⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.8Q8	96,21
C₁₂.₉Q₈ = C₃×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.9Q8	96,56
C₁₂.₁₀Q₈ = C₃×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.10Q8	96,57
C₁₂.₁₁Q₈ = C₃×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₁₂	96		C12.11Q8	96,172
C₁₂.₁₂Q₈ = C₃×C₄⋊C₈	central extension (φ=1)	96		C12.12Q8	96,55

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