Extensions 1→N→G→Q→1 with N=Q₆₄ and Q=C₂

Direct product G=N×Q with N=Q₆₄ and Q=C₂

		d	ρ	Label	ID
C₂×Q₆₄		128		C2xQ64	128,993

Semidirect products G=N:Q with N=Q₆₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₆₄⋊₁C₂ = SD₁₂₈	φ: C₂/C₁ → C₂ ⊆ Out Q₆₄	64	2	Q64:1C2	128,162
Q₆₄⋊₂C₂ = Q₆₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₆₄	64	4-	Q64:2C2	128,996
Q₆₄⋊₃C₂ = C₄○D₃₂	φ: trivial image	64	2	Q64:3C2	128,994

Non-split extensions G=N.Q with N=Q₆₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₆₄.C₂ = Q₁₂₈	φ: C₂/C₁ → C₂ ⊆ Out Q₆₄	128	2-	Q64.C2	128,163

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Extensions 1→N→G→Q→1 with N=Q64 and Q=C2