Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=C₁₆

Direct product G=N×Q with N=C₂×C₁₀ and Q=C₁₆

		d	ρ	Label	ID
C₂²×C₈₀		320		C2^2xC80	320,1003

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊₁C₁₆ = C₁₀.₆M₅(2)	φ: C₁₆/C₄ → C₄ ⊆ Aut C₂×C₁₀	160		(C2xC10):1C16	320,249
(C₂×C₁₀)⋊₂C₁₆ = C₂²×C₅⋊C₁₆	φ: C₁₆/C₄ → C₄ ⊆ Aut C₂×C₁₀	320		(C2xC10):2C16	320,1080
(C₂×C₁₀)⋊₃C₁₆ = C₅×C₂²⋊C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10):3C16	320,153
(C₂×C₁₀)⋊₄C₁₆ = C₄₀.₉₁D₄	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160		(C2xC10):4C16	320,107
(C₂×C₁₀)⋊₅C₁₆ = C₂²×C₅⋊₂C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10):5C16	320,723

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁C₁₆ = C₂×C₅⋊C₃₂	φ: C₁₆/C₄ → C₄ ⊆ Aut C₂×C₁₀	320		(C2xC10).1C16	320,214
(C₂×C₁₀).₂C₁₆ = C₅⋊M₆(2)	φ: C₁₆/C₄ → C₄ ⊆ Aut C₂×C₁₀	160	4	(C2xC10).2C16	320,215
(C₂×C₁₀).₃C₁₆ = C₅×M₆(2)	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	2	(C2xC10).3C16	320,175
(C₂×C₁₀).₄C₁₆ = C₂×C₅⋊₂C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	320		(C2xC10).4C16	320,56
(C₂×C₁₀).₅C₁₆ = C₈₀.₉C₄	φ: C₁₆/C₈ → C₂ ⊆ Aut C₂×C₁₀	160	2	(C2xC10).5C16	320,57

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