Extensions 1→N→G→Q→1 with N=C₅₂ and Q=Q₈

Direct product G=N×Q with N=C₅₂ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₅₂		416		Q8xC52	416,180

Semidirect products G=N:Q with N=C₅₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₂⋊Q₈ = C₅₂⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₅₂	416		C52:Q8	416,109
C₅₂⋊₂Q₈ = C₅₂⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52:2Q8	416,90
C₅₂⋊₃Q₈ = C₄×Dic₂₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52:3Q8	416,89
C₅₂⋊₄Q₈ = C₁₃×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52:4Q8	416,189

Non-split extensions G=N.Q with N=C₅₂ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₂.₁Q₈ = C₂₆.D₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₅₂	416		C52.1Q8	416,14
C₅₂.₂Q₈ = C₅₂.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₅₂	416		C52.2Q8	416,15
C₅₂.₃Q₈ = C₄.Dic₂₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₅₂	416		C52.3Q8	416,111
C₅₂.₄Q₈ = C₁₀₄⋊₆C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52.4Q8	416,24
C₅₂.₅Q₈ = C₁₀₄⋊₅C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52.5Q8	416,25
C₅₂.₆Q₈ = C₅₂.₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52.6Q8	416,91
C₅₂.₇Q₈ = C₅₂⋊₃C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52.7Q8	416,11
C₅₂.₈Q₈ = C₅₂.₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52.8Q8	416,21
C₅₂.₉Q₈ = C₁₃×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52.9Q8	416,56
C₅₂.₁₀Q₈ = C₁₃×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52.10Q8	416,57
C₅₂.₁₁Q₈ = C₁₃×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₂	416		C52.11Q8	416,186
C₅₂.₁₂Q₈ = C₁₃×C₄⋊C₈	central extension (φ=1)	416		C52.12Q8	416,55

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