Extensions 1→N→G→Q→1 with N=D₁₀ and Q=D₁₂

Direct product G=N×Q with N=D₁₀ and Q=D₁₂

		d	ρ	Label	ID
C₂×D₅×D₁₂		120		C2xD5xD12	480,1087

Semidirect products G=N:Q with N=D₁₀ and Q=D₁₂

extension	φ:Q→Out N	d	Label	ID
D₁₀⋊₁D₁₂ = D₁₀⋊D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240	D10:1D12	480,524
D₁₀⋊₂D₁₂ = C₆₀⋊D₄	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240	D10:2D12	480,525
D₁₀⋊₃D₁₂ = C₁₂⋊₇D₂₀	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240	D10:3D12	480,526
D₁₀⋊₄D₁₂ = D₃₀⋊₄D₄	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	120	D10:4D12	480,551
D₁₀⋊₅D₁₂ = D₃₀⋊₅D₄	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	120	D10:5D12	480,552

Non-split extensions G=N.Q with N=D₁₀ and Q=D₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁D₁₂ = D₁₂⋊₄F₅	φ: D₁₂/C₆ → C₂² ⊆ Out D₁₀	120	8-	D10.1D12	480,231
D₁₀.₂D₁₂ = D₆₀⋊₂C₄	φ: D₁₂/C₆ → C₂² ⊆ Out D₁₀	120	8+	D10.2D12	480,233
D₁₀.₃D₁₂ = D₁₀.D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Out D₁₀	120	8-	D10.3D12	480,248
D₁₀.₄D₁₂ = D₁₀.₄D₁₂	φ: D₁₂/C₆ → C₂² ⊆ Out D₁₀	120	8+	D10.4D12	480,249
D₁₀.₅D₁₂ = C₄₀.₃₁D₆	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240	4	D10.5D12	480,345
D₁₀.₆D₁₂ = D₂₄⋊₇D₅	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240	4-	D10.6D12	480,346
D₁₀.₇D₁₂ = D₁₂₀⋊C₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	240	4+	D10.7D12	480,347
D₁₀.₈D₁₂ = C₁₂₀⋊C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	120	4	D10.8D12	480,298
D₁₀.₉D₁₂ = D₅.D₂₄	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	120	4	D10.9D12	480,299
D₁₀.₁₀D₁₂ = D₁₀.₁₀D₁₂	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	120		D10.10D12	480,311
D₁₀.₁₁D₁₂ = C₂×C₆₀⋊C₄	φ: D₁₂/C₁₂ → C₂ ⊆ Out D₁₀	120		D10.11D12	480,1064
D₁₀.₁₂D₁₂ = C₂₄⋊D₁₀	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	120	4+	D10.12D12	480,325
D₁₀.₁₃D₁₂ = D₂₄⋊D₅	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	120	4	D10.13D12	480,326
D₁₀.₁₄D₁₂ = Dic₆₀⋊C₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	240	4-	D10.14D12	480,336
D₁₀.₁₅D₁₂ = C₂₄.₂D₁₀	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	240	4	D10.15D12	480,337
D₁₀.₁₆D₁₂ = D₁₀.₁₆D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	240		D10.16D12	480,489
D₁₀.₁₇D₁₂ = D₁₀.₁₇D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	240		D10.17D12	480,490
D₁₀.₁₈D₁₂ = D₁₂⋊F₅	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	120	8+	D10.18D12	480,228
D₁₀.₁₉D₁₂ = Dic₃₀⋊C₄	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	120	8-	D10.19D12	480,230
D₁₀.₂₀D₁₂ = D₁₀.₂₀D₁₂	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	120		D10.20D12	480,243
D₁₀.₂₁D₁₂ = C₂×D₆⋊F₅	φ: D₁₂/D₆ → C₂ ⊆ Out D₁₀	120		D10.21D12	480,1000
D₁₀.₂₂D₁₂ = D₅×C₂₄⋊C₂	φ: trivial image	120	4	D10.22D12	480,323
D₁₀.₂₃D₁₂ = D₅×D₂₄	φ: trivial image	120	4+	D10.23D12	480,324
D₁₀.₂₄D₁₂ = D₅×Dic₁₂	φ: trivial image	240	4-	D10.24D12	480,335
D₁₀.₂₅D₁₂ = D₅×C₄⋊Dic₃	φ: trivial image	240		D10.25D12	480,488
D₁₀.₂₆D₁₂ = D₅×D₆⋊C₄	φ: trivial image	120		D10.26D12	480,547

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Extensions 1→N→G→Q→1 with N=D10 and Q=D12

Extensions 1→N→G→Q→1 with N=D₁₀ and Q=D₁₂