Extensions 1→N→G→Q→1 with N=C₂³ and Q=Q₈

Direct product G=N×Q with N=C₂³ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₂³		64		Q8xC2^3	64,262

Semidirect products G=N:Q with N=C₂³ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊₁Q₈ = C₂³⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂³	32		C2^3:1Q8	64,74
C₂³⋊₂Q₈ = C₂³⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂³	16		C2^3:2Q8	64,224
C₂³⋊₃Q₈ = C₂×C₂²⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂³	32		C2^3:3Q8	64,204

Non-split extensions G=N.Q with N=C₂³ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁Q₈ = C₄.₁₀C₄²	φ: Q₈/C₂ → C₂² ⊆ Aut C₂³	16	4	C2^3.1Q8	64,19
C₂³.₂Q₈ = C₂³.₉D₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂³	16		C2^3.2Q8	64,23
C₂³.₃Q₈ = C₂³.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂³	32		C2^3.3Q8	64,77
C₂³.₄Q₈ = C₂³.₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₂³	32		C2^3.4Q8	64,80
C₂³.₅Q₈ = M₄(2).C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₂³	16	4	C2^3.5Q8	64,111
C₂³.₆Q₈ = C₄.C₄²	φ: Q₈/C₄ → C₂ ⊆ Aut C₂³	32		C2^3.6Q8	64,22
C₂³.₇Q₈ = C₂³.₇Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂³	32		C2^3.7Q8	64,61
C₂³.₈Q₈ = C₂³.₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₂³	32		C2^3.8Q8	64,66
C₂³.₉Q₈ = C₂×C₈.C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₂³	32		C2^3.9Q8	64,110
C₂³.₁₀Q₈ = C₂×C₂.C₄²	central extension (φ=1)	64		C2^3.10Q8	64,56
C₂³.₁₁Q₈ = C₂²×C₄⋊C₄	central extension (φ=1)	64		C2^3.11Q8	64,194

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