Extensions 1→N→G→Q→1 with N=C₁₀₅ and Q=C₂²

Direct product G=N×Q with N=C₁₀₅ and Q=C₂²

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

Semidirect products G=N:Q with N=C₁₀₅ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀₅⋊₁C₂² = S₃×D₃₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₅	105	4+	C105:1C2^2	420,29
C₁₀₅⋊₂C₂² = D₅×D₂₁	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₅	105	4+	C105:2C2^2	420,28
C₁₀₅⋊₃C₂² = D₇×D₁₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₅	105	4+	C105:3C2^2	420,26
C₁₀₅⋊₄C₂² = D₁₅⋊D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₅	105	4	C105:4C2^2	420,30
C₁₀₅⋊₅C₂² = C₃×D₅×D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₅	105	4	C105:5C2^2	420,24
C₁₀₅⋊₆C₂² = C₅×S₃×D₇	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₅	105	4	C105:6C2^2	420,25
C₁₀₅⋊₇C₂² = S₃×C₇×D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₁₀₅	105	4	C105:7C2^2	420,27
C₁₀₅⋊₈C₂² = D₂₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₅	210	2+	C105:8C2^2	420,40
C₁₀₅⋊₉C₂² = C₆×D₃₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₅	210	2	C105:9C2^2	420,36
C₁₀₅⋊₁₀C₂² = C₁₀×D₂₁	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₅	210	2	C105:10C2^2	420,38
C₁₀₅⋊₁₁C₂² = C₁₄×D₁₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₅	210	2	C105:11C2^2	420,39
C₁₀₅⋊₁₂C₂² = D₇×C₃₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₅	210	2	C105:12C2^2	420,34
C₁₀₅⋊₁₃C₂² = D₅×C₄₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₅	210	2	C105:13C2^2	420,35
C₁₀₅⋊₁₄C₂² = S₃×C₇₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₁₀₅	210	2	C105:14C2^2	420,37

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁