Extensions 1→N→G→Q→1 with N=D₁₀ and Q=D₆

Direct product G=N×Q with N=D₁₀ and Q=D₆

		d	ρ	Label	ID
C₂²×S₃×D₅		60		C2^2xS3xD5	240,202

Semidirect products G=N:Q with N=D₁₀ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁D₆ = S₃×D₂₀	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	60	4+	D10:1D6	240,137
D₁₀⋊₂D₆ = C₂₀⋊D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	60	4	D10:2D6	240,138
D₁₀⋊₃D₆ = S₃×C₅⋊D₄	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	60	4	D10:3D6	240,150
D₁₀⋊₄D₆ = D₁₀⋊D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	60	4+	D10:4D6	240,151
D₁₀⋊₅D₆ = C₂×C₁₅⋊D₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	120		D10:5D6	240,145
D₁₀⋊₆D₆ = C₂×C₃⋊D₂₀	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	120		D10:6D6	240,146
D₁₀⋊₇D₆ = D₅×C₃⋊D₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	60	4	D10:7D6	240,149

Non-split extensions G=N.Q with N=D₁₀ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁D₆ = D₂₀⋊₅S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	120	4-	D10.1D6	240,126
D₁₀.₂D₆ = D₂₀⋊S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	120	4	D10.2D6	240,127
D₁₀.₃D₆ = Dic₅.D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	120	4	D10.3D6	240,140
D₁₀.₄D₆ = C₃₀.C₂³	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	120	4-	D10.4D6	240,141
D₁₀.₅D₆ = Dic₃×F₅	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	60	8-	D10.5D6	240,95
D₁₀.₆D₆ = D₆⋊F₅	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	60	8+	D10.6D6	240,96
D₁₀.₇D₆ = Dic₃⋊F₅	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	60	8-	D10.7D6	240,97
D₁₀.₈D₆ = C₂×S₃×F₅	φ: D₆/S₃ → C₂ ⊆ Out D₁₀	30	8+	D10.8D6	240,195
D₁₀.₉D₆ = D₆.D₁₀	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	120	4	D10.9D6	240,132
D₁₀.₁₀D₆ = D₁₂⋊₅D₅	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	120	4-	D10.10D6	240,133
D₁₀.₁₁D₆ = C₁₂.₂₈D₁₀	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	120	4+	D10.11D6	240,134
D₁₀.₁₂D₆ = C₄×C₃⋊F₅	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	60	4	D10.12D6	240,120
D₁₀.₁₃D₆ = C₆₀⋊C₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	60	4	D10.13D6	240,121
D₁₀.₁₄D₆ = D₁₀.D₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	60	4	D10.14D6	240,124
D₁₀.₁₅D₆ = C₂²×C₃⋊F₅	φ: D₆/C₆ → C₂ ⊆ Out D₁₀	60		D10.15D6	240,201
D₁₀.₁₆D₆ = D₅×Dic₆	φ: trivial image	120	4-	D10.16D6	240,125
D₁₀.₁₇D₆ = C₄×S₃×D₅	φ: trivial image	60	4	D10.17D6	240,135
D₁₀.₁₈D₆ = D₅×D₁₂	φ: trivial image	60	4+	D10.18D6	240,136
D₁₀.₁₉D₆ = C₂×D₅×Dic₃	φ: trivial image	120		D10.19D6	240,139

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