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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊Q₈ = C₈⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₈	64		C8:Q8	64,182
C₈⋊₂Q₈ = C₈⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₈	64		C8:2Q8	64,181
C₈⋊₃Q₈ = C₈⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₈	64		C8:3Q8	64,179
C₈⋊₄Q₈ = C₈⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₈	64		C8:4Q8	64,127

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.Q₈ = C₈.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₈	16	4	C8.Q8	64,46
C₈.₂Q₈ = C₁₆⋊₃C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₈	64		C8.2Q8	64,47
C₈.₃Q₈ = C₁₆⋊₄C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₈	64		C8.3Q8	64,48
C₈.₄Q₈ = C₈.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₈	32	2	C8.4Q8	64,49
C₈.₅Q₈ = C₈.₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₈	64		C8.5Q8	64,180
C₈.₆Q₈ = C₈.C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₈	16	2	C8.6Q8	64,45
C₈.₇Q₈ = C₄⋊C₁₆	central extension (φ=1)	64		C8.7Q8	64,44

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