Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=Q₈

Direct product G=N×Q with N=C₄○D₄ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₄○D₄		64		Q8xC4oD4	128,2210

Semidirect products G=N:Q with N=C₄○D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁Q₈ = C₄².₂₂C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₄○D₄	64		C4oD4:1Q8	128,1815
C₄○D₄⋊₂Q₈ = C₄².₂₃C₂³	φ: Q₈/C₂ → C₂² ⊆ Out C₄○D₄	64		C4oD4:2Q8	128,1816
C₄○D₄⋊₃Q₈ = C₄².₄₄₇D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4:3Q8	128,1808
C₄○D₄⋊₄Q₈ = C₄².₄₄₈D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4:4Q8	128,1811
C₄○D₄⋊₅Q₈ = C₂².₉₂C₂⁵	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4:5Q8	128,2235
C₄○D₄⋊₆Q₈ = C₂².₉₃C₂⁵	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4:6Q8	128,2236

Non-split extensions G=N.Q with N=C₄○D₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁Q₈ = C₄≀C₂⋊C₄	φ: Q₈/C₂ → C₂² ⊆ Out C₄○D₄	32		C4oD4.1Q8	128,591
C₄○D₄.₂Q₈ = C₄²⋊₉(C₂×C₄)	φ: Q₈/C₂ → C₂² ⊆ Out C₄○D₄	32		C4oD4.2Q8	128,592
C₄○D₄.₃Q₈ = C₄².₁₀₂D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	32		C4oD4.3Q8	128,538
C₄○D₄.₄Q₈ = C₄○D₄.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4.4Q8	128,547
C₄○D₄.₅Q₈ = C₄○D₄.₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4.5Q8	128,548
C₄○D₄.₆Q₈ = M₄(2).₄₂D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	32		C4oD4.6Q8	128,598
C₄○D₄.₇Q₈ = C₄○D₄.₇Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4.7Q8	128,1644
C₄○D₄.₈Q₈ = C₄○D₄.₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4.8Q8	128,1645
C₄○D₄.₉Q₈ = C₄².₄₄₉D₄	φ: Q₈/C₄ → C₂ ⊆ Out C₄○D₄	64		C4oD4.9Q8	128,1812
C₄○D₄.₁₀Q₈ = C₄².₆₇₄C₂³	φ: trivial image	64		C4oD4.10Q8	128,1638

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