Extensions 1→N→G→Q→1 with N=C₂₁₀ and Q=C₂

Direct product G=N×Q with N=C₂₁₀ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₁₀		420		C2xC210	420,41

Semidirect products G=N:Q with N=C₂₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁₀⋊₁C₂ = D₂₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	210	2+	C210:1C2	420,40
C₂₁₀⋊₂C₂ = C₆×D₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	210	2	C210:2C2	420,36
C₂₁₀⋊₃C₂ = C₁₀×D₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	210	2	C210:3C2	420,38
C₂₁₀⋊₄C₂ = C₁₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	210	2	C210:4C2	420,39
C₂₁₀⋊₅C₂ = D₇×C₃₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	210	2	C210:5C2	420,34
C₂₁₀⋊₆C₂ = D₅×C₄₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	210	2	C210:6C2	420,35
C₂₁₀⋊₇C₂ = S₃×C₇₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	210	2	C210:7C2	420,37

Non-split extensions G=N.Q with N=C₂₁₀ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁₀.₁C₂ = Dic₁₀₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	420	2-	C210.1C2	420,11
C₂₁₀.₂C₂ = C₃×Dic₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	420	2	C210.2C2	420,7
C₂₁₀.₃C₂ = C₅×Dic₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	420	2	C210.3C2	420,9
C₂₁₀.₄C₂ = C₇×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	420	2	C210.4C2	420,10
C₂₁₀.₅C₂ = C₁₅×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	420	2	C210.5C2	420,5
C₂₁₀.₆C₂ = Dic₅×C₂₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	420	2	C210.6C2	420,6
C₂₁₀.₇C₂ = Dic₃×C₃₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂₁₀	420	2	C210.7C2	420,8

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