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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂⋊₁D₁₀ = C₄₀⋊₅D₆	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12:1D10	480,332
D₁₂⋊₂D₁₀ = D₂₄⋊₆D₅	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12:2D10	480,333
D₁₂⋊₃D₁₀ = S₃×D₄⋊D₅	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8+	D12:3D10	480,555
D₁₂⋊₄D₁₀ = D₁₅⋊D₈	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8+	D12:4D10	480,557
D₁₂⋊₅D₁₀ = D₁₂⋊₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8+	D12:5D10	480,576
D₁₂⋊₆D₁₀ = D₁₂⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8+	D12:6D10	480,580
D₁₂⋊₇D₁₀ = D₅×D₂₄	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	4+	D12:7D10	480,324
D₁₂⋊₈D₁₀ = D₂₄⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	4	D12:8D10	480,326
D₁₂⋊₉D₁₀ = D₅×D₄⋊S₃	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12:9D10	480,553
D₁₂⋊₁₀D₁₀ = D₁₂⋊₁₀D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8-	D12:10D10	480,565
D₁₂⋊₁₁D₁₀ = S₃×D₄×D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	60	8+	D12:11D10	480,1097
D₁₂⋊₁₂D₁₀ = S₃×D₄⋊₂D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8-	D12:12D10	480,1099
D₁₂⋊₁₃D₁₀ = D₂₀⋊₁₃D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8-	D12:13D10	480,1101
D₁₂⋊₁₄D₁₀ = D₁₂⋊₁₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12:14D10	480,1103
D₁₂⋊₁₅D₁₀ = D₅×Q₈⋊₃S₃	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12:15D10	480,1108
D₁₂⋊₁₆D₁₀ = D₂₀⋊₁₆D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8-	D12:16D10	480,1110
D₁₂⋊₁₇D₁₀ = D₂₀⋊₁₇D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12:17D10	480,1111
D₁₂⋊₁₈D₁₀ = C₂×C₅⋊D₂₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:18D10	480,378
D₁₂⋊₁₉D₁₀ = C₆₀.₃₈D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4+	D12:19D10	480,381
D₁₂⋊₂₀D₁₀ = C₂×C₁₅⋊D₈	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:20D10	480,372
D₁₂⋊₂₁D₁₀ = C₆₀.₃₆D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:21D10	480,374
D₁₂⋊₂₂D₁₀ = C₂×D₁₂⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12:22D10	480,1079
D₁₂⋊₂₃D₁₀ = C₂×C₂₀⋊D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120		D12:23D10	480,1089
D₁₂⋊₂₄D₁₀ = D₂₀⋊₂₄D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:24D10	480,1092
D₁₂⋊₂₅D₁₀ = D₂₀⋊₂₅D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12:25D10	480,1093
D₁₂⋊₂₆D₁₀ = C₂×D₁₂⋊₅D₅	φ: trivial image	240		D12:26D10	480,1084
D₁₂⋊₂₇D₁₀ = D₅×C₄○D₁₂	φ: trivial image	120	4	D12:27D10	480,1090
D₁₂⋊₂₈D₁₀ = D₂₀⋊₂₆D₆	φ: trivial image	120	4	D12:28D10	480,1094
D₁₂⋊₂₉D₁₀ = D₂₀⋊₂₉D₆	φ: trivial image	120	4+	D12:29D10	480,1095

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂.₁D₁₀ = C₄₀⋊₁₄D₆	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12.1D10	480,331
D₁₂.₂D₁₀ = C₄₀⋊₈D₆	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	4	D12.2D10	480,334
D₁₂.₃D₁₀ = Dic₆.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.3D10	480,352
D₁₂.₄D₁₀ = D₂₄⋊₅D₅	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.4D10	480,355
D₁₂.₅D₁₀ = D₃₀.₄D₄	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	4	D12.5D10	480,356
D₁₂.₆D₁₀ = D₃₀.₈D₄	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8-	D12.6D10	480,558
D₁₂.₇D₁₀ = S₃×D₄.D₅	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8-	D12.7D10	480,561
D₁₂.₈D₁₀ = D₂₀⋊₁₀D₆	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8-	D12.8D10	480,570
D₁₂.₉D₁₀ = D₁₂.₉D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8+	D12.9D10	480,572
D₁₂.₁₀D₁₀ = D₃₀.₁₁D₄	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	8-	D12.10D10	480,575
D₁₂.₁₁D₁₀ = D₁₅⋊SD₁₆	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8-	D12.11D10	480,581
D₁₂.₁₂D₁₀ = D₆₀⋊C₂²	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	120	8+	D12.12D10	480,582
D₁₂.₁₃D₁₀ = Dic₁₀.₂₆D₆	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	8-	D12.13D10	480,586
D₁₂.₁₄D₁₀ = D₂₀.₂₇D₆	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	8-	D12.14D10	480,593
D₁₂.₁₅D₁₀ = Dic₁₀.₂₇D₆	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	8+	D12.15D10	480,595
D₁₂.₁₆D₁₀ = D₁₂.D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	8+	D12.16D10	480,599
D₁₂.₁₇D₁₀ = D₃₀.₄₄D₄	φ: D₁₀/C₅ → C₂² ⊆ Out D₁₂	240	8-	D12.17D10	480,600
D₁₂.₁₈D₁₀ = D₅×C₂₄⋊C₂	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	4	D12.18D10	480,323
D₁₂.₁₉D₁₀ = C₂₄⋊D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	4+	D12.19D10	480,325
D₁₂.₂₀D₁₀ = Dic₆₀⋊C₂	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	240	4-	D12.20D10	480,336
D₁₂.₂₁D₁₀ = C₄₀.₃₁D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	240	4	D12.21D10	480,345
D₁₂.₂₂D₁₀ = D₂₄⋊₇D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	240	4-	D12.22D10	480,346
D₁₂.₂₃D₁₀ = Dic₁₀⋊₃D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12.23D10	480,554
D₁₂.₂₄D₁₀ = D₁₂.₂₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	240	8-	D12.24D10	480,566
D₁₂.₂₅D₁₀ = D₅×Q₈⋊₂S₃	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12.25D10	480,577
D₁₂.₂₆D₁₀ = D₂₀⋊D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	120	8+	D12.26D10	480,578
D₁₂.₂₇D₁₀ = D₁₂.₂₇D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	240	8-	D12.27D10	480,589
D₁₂.₂₈D₁₀ = D₂₀.₁₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	240	8-	D12.28D10	480,590
D₁₂.₂₉D₁₀ = D₁₂.₂₉D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₂	240	8-	D12.29D10	480,1106
D₁₂.₃₀D₁₀ = C₂₀.₆₀D₁₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.30D10	480,379
D₁₂.₃₁D₁₀ = D₆₀⋊₃₆C₂²	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12.31D10	480,380
D₁₂.₃₂D₁₀ = C₂×D₁₂.D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12.32D10	480,392
D₁₂.₃₃D₁₀ = D₁₂.₃₃D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4-	D12.33D10	480,398
D₁₂.₃₄D₁₀ = D₂₀.₃₄D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.34D10	480,373
D₁₂.₃₅D₁₀ = D₂₀⋊₂₁D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	120	4	D12.35D10	480,375
D₁₂.₃₆D₁₀ = C₂×C₂₀.D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240		D12.36D10	480,384
D₁₂.₃₇D₁₀ = D₁₂.₃₇D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.37D10	480,385
D₁₂.₃₈D₁₀ = C₃₀.C₂⁴	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₂	240	4	D12.38D10	480,1080
D₁₂.₃₉D₁₀ = D₂₀.₃₉D₆	φ: trivial image	240	4-	D12.39D10	480,1077

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

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