Extensions 1→N→G→Q→1 with N=C₅₀ and Q=C₈

Direct product G=N×Q with N=C₅₀ and Q=C₈

		d	ρ	Label	ID
C₂×C₂₀₀		400		C2xC200	400,23

Semidirect products G=N:Q with N=C₅₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀⋊C₈ = C₂×C₂₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₅₀	400		C50:C8	400,32
C₅₀⋊₂C₈ = C₂×C₂₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₅₀	400		C50:2C8	400,9

Non-split extensions G=N.Q with N=C₅₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₀.C₈ = C₂₅⋊C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₅₀	400	4	C50.C8	400,3
C₅₀.₂C₈ = C₂₅⋊₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₅₀	400	2	C50.2C8	400,1

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Extensions 1→N→G→Q→1 with N=C50 and Q=C8