Extensions 1→N→G→Q→1 with N=C₁₀₅ and Q=C₄

Direct product G=N×Q with N=C₁₀₅ and Q=C₄

		d	ρ	Label	ID
C₄₂₀		420	1	C420	420,12

Semidirect products G=N:Q with N=C₁₀₅ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₅⋊₁C₄ = C₅⋊Dic₂₁	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₅	105	4	C105:1C4	420,23
C₁₀₅⋊₂C₄ = C₃×C₇⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₅	105	4	C105:2C4	420,21
C₁₀₅⋊₃C₄ = C₇×C₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₅	105	4	C105:3C4	420,22
C₁₀₅⋊₄C₄ = F₅×C₂₁	φ: C₄/C₁ → C₄ ⊆ Aut C₁₀₅	105	4	C105:4C4	420,20
C₁₀₅⋊₅C₄ = Dic₁₀₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₅	420	2-	C105:5C4	420,11
C₁₀₅⋊₆C₄ = C₃×Dic₃₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₅	420	2	C105:6C4	420,7
C₁₀₅⋊₇C₄ = C₅×Dic₂₁	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₅	420	2	C105:7C4	420,9
C₁₀₅⋊₈C₄ = C₇×Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₅	420	2	C105:8C4	420,10
C₁₀₅⋊₉C₄ = C₁₅×Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₅	420	2	C105:9C4	420,5
C₁₀₅⋊₁₀C₄ = Dic₅×C₂₁	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₅	420	2	C105:10C4	420,6
C₁₀₅⋊₁₁C₄ = Dic₃×C₃₅	φ: C₄/C₂ → C₂ ⊆ Aut C₁₀₅	420	2	C105:11C4	420,8

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