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

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

		d	ρ	Label	ID
C₈×Q₈		64		C8xQ8	64,126

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊C₈ = Q₈⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out Q₈	64		Q8:C8	64,7

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.C₈ = D₄.C₈	φ: C₈/C₄ → C₂ ⊆ Out Q₈	32	2	Q8.C8	64,31
Q₈.₂C₈ = D₄○C₁₆	φ: trivial image	32	2	Q8.2C8	64,185

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