Extensions 1→N→G→Q→1 with N=C₃₅ and Q=C₁₂

Direct product G=N×Q with N=C₃₅ and Q=C₁₂

		d	ρ	Label	ID
C₄₂₀		420	1	C420	420,12

Semidirect products G=N:Q with N=C₃₅ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₅⋊₁C₁₂ = C₃₅⋊C₁₂	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₃₅	35	12	C35:1C12	420,15
C₃₅⋊₂C₁₂ = F₅×C₇⋊C₃	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₃₅	35	12	C35:2C12	420,14
C₃₅⋊₃C₁₂ = C₃₅⋊₃C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₅	140	6-	C35:3C12	420,3
C₃₅⋊₄C₁₂ = C₅×C₇⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₅	140	6	C35:4C12	420,1
C₃₅⋊₅C₁₂ = Dic₅×C₇⋊C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₃₅	140	6	C35:5C12	420,2
C₃₅⋊₆C₁₂ = C₃×C₇⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₃₅	105	4	C35:6C12	420,21
C₃₅⋊₇C₁₂ = F₅×C₂₁	φ: C₁₂/C₃ → C₄ ⊆ Aut C₃₅	105	4	C35:7C12	420,20
C₃₅⋊₈C₁₂ = C₂₀×C₇⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₃₅	140	3	C35:8C12	420,4
C₃₅⋊₉C₁₂ = C₃×Dic₃₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₅	420	2	C35:9C12	420,7
C₃₅⋊₁₀C₁₂ = C₁₅×Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₅	420	2	C35:10C12	420,5
C₃₅⋊₁₁C₁₂ = Dic₅×C₂₁	φ: C₁₂/C₆ → C₂ ⊆ Aut C₃₅	420	2	C35:11C12	420,6

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