Extensions 1→N→G→Q→1 with N=C₆₄ and Q=C₂

Direct product G=N×Q with N=C₆₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₆₄		128		C2xC64	128,159

Semidirect products G=N:Q with N=C₆₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₄⋊₁C₂ = D₆₄	φ: C₂/C₁ → C₂ ⊆ Aut C₆₄	64	2+	C64:1C2	128,161
C₆₄⋊₂C₂ = SD₁₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆₄	64	2	C64:2C2	128,162
C₆₄⋊₃C₂ = M₇(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₆₄	64	2	C64:3C2	128,160

Non-split extensions G=N.Q with N=C₆₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₄.C₂ = Q₁₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₆₄	128	2-	C64.C2	128,163

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Extensions 1→N→G→Q→1 with N=C64 and Q=C2