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

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

		d	ρ	Label	ID
C₈²		64		C8^2	64,2

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

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁C₈ = C₈⋊₁C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₈	64	C8:1C8	64,16
C₈⋊₂C₈ = C₈⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₈	64	C8:2C8	64,15
C₈⋊₃C₈ = C₈⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₈	64	C8:3C8	64,3

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁C₈ = C₈.C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₈	16	2	C8.1C8	64,45
C₈.₂C₈ = C₁₆⋊₅C₄	φ: C₈/C₄ → C₂ ⊆ Aut C₈	64		C8.2C8	64,27
C₈.₃C₈ = M₆(2)	φ: C₈/C₄ → C₂ ⊆ Aut C₈	32	2	C8.3C8	64,51

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