Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×C₈

Direct product G=N×Q with N=Q₈ and Q=C₂×C₈

		d	ρ	Label	ID
Q₈×C₂×C₈		128		Q8xC2xC8	128,1690

Semidirect products G=N:Q with N=Q₈ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×C₈) = C₈×SD₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Out Q₈	64		Q8:1(C2xC8)	128,308
Q₈⋊₂(C₂×C₈) = SD₁₆⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Q₈	64		Q8:2(C2xC8)	128,310
Q₈⋊₃(C₂×C₈) = C₂×Q₈⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Q₈	128		Q8:3(C2xC8)	128,207
Q₈⋊₄(C₂×C₈) = C₄².₄₅₅D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Q₈	64		Q8:4(C2xC8)	128,208
Q₈⋊₅(C₂×C₈) = C₄².₃₉₇D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Q₈	64		Q8:5(C2xC8)	128,209
Q₈⋊₆(C₂×C₈) = C₈×C₄○D₄	φ: trivial image	64		Q8:6(C2xC8)	128,1696
Q₈⋊₇(C₂×C₈) = C₄².₆₉₇C₂³	φ: trivial image	64		Q8:7(C2xC8)	128,1720

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×C₈) = C₈×Q₁₆	φ: C₂×C₈/C₈ → C₂ ⊆ Out Q₈	128		Q8.1(C2xC8)	128,309
Q₈.₂(C₂×C₈) = Q₁₆⋊₅C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Q₈	128		Q8.2(C2xC8)	128,311
Q₈.₃(C₂×C₈) = C₁₆○D₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Q₈	32	2	Q8.3(C2xC8)	128,902
Q₈.₄(C₂×C₈) = D₈.C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Q₈	32	4	Q8.4(C2xC8)	128,903
Q₈.₅(C₂×C₈) = C₄².₃₉₉D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Q₈	64		Q8.5(C2xC8)	128,211
Q₈.₆(C₂×C₈) = C₂×D₄.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Q₈	64		Q8.6(C2xC8)	128,848
Q₈.₇(C₂×C₈) = M₅(2)⋊₁₂C₂²	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Q₈	32	4	Q8.7(C2xC8)	128,849
Q₈.₈(C₂×C₈) = C₄².₆₉₅C₂³	φ: trivial image	64		Q8.8(C2xC8)	128,1714
Q₈.₉(C₂×C₈) = C₂×D₄○C₁₆	φ: trivial image	64		Q8.9(C2xC8)	128,2138
Q₈.₁₀(C₂×C₈) = Q₈○M₅(2)	φ: trivial image	32	4	Q8.10(C2xC8)	128,2139

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