Extensions 1→N→G→Q→1 with N=C₅₀ and Q=Q₈

Direct product G=N×Q with N=C₅₀ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₅₀		400		Q8xC50	400,47

Semidirect products G=N:Q with N=C₅₀ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀⋊Q₈ = C₂×Dic₅₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₀	400		C50:Q8	400,35

Non-split extensions G=N.Q with N=C₅₀ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₅₀.₁Q₈ = C₅₀.D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₀	400	C50.1Q8	400,12
C₅₀.₂Q₈ = C₄⋊Dic₂₅	φ: Q₈/C₄ → C₂ ⊆ Aut C₅₀	400	C50.2Q8	400,13
C₅₀.₃Q₈ = C₄⋊C₄×C₂₅	central extension (φ=1)	400	C50.3Q8	400,22

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Extensions 1→N→G→Q→1 with N=C50 and Q=Q8