Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×M₅(2)

Direct product G=N×Q with N=C₅ and Q=C₂×M₅(2)

		d	ρ	Label	ID
C₁₀×M₅(2)		160		C10xM5(2)	320,1004

Semidirect products G=N:Q with N=C₅ and Q=C₂×M₅(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×M₅(2)) = C₂×C₈.F₅	φ: C₂×M₅(2)/C₂×C₈ → C₄ ⊆ Aut C₅	160		C5:1(C2xM5(2))	320,1052
C₅⋊₂(C₂×M₅(2)) = D₅⋊M₅(2)	φ: C₂×M₅(2)/C₂×C₈ → C₄ ⊆ Aut C₅	80	4	C5:2(C2xM5(2))	320,1053
C₅⋊₃(C₂×M₅(2)) = C₂×C₂₀.C₈	φ: C₂×M₅(2)/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:3(C2xM5(2))	320,1081
C₅⋊₄(C₂×M₅(2)) = C₂×C₈₀⋊C₂	φ: C₂×M₅(2)/C₂×C₁₆ → C₂ ⊆ Aut C₅	160		C5:4(C2xM5(2))	320,527
C₅⋊₅(C₂×M₅(2)) = D₅×M₅(2)	φ: C₂×M₅(2)/M₅(2) → C₂ ⊆ Aut C₅	80	4	C5:5(C2xM5(2))	320,533
C₅⋊₆(C₂×M₅(2)) = C₂×C₂₀.₄C₈	φ: C₂×M₅(2)/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:6(C2xM5(2))	320,724

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