Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=D₁₀

Direct product G=N×Q with N=C₃⋊C₈ and Q=D₁₀

		d	ρ	Label	ID
C₂×D₅×C₃⋊C₈		240		C2xD5xC3:C8	480,357

Semidirect products G=N:Q with N=C₃⋊C₈ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈⋊₁D₁₀ = C₄₀⋊₁D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	4+	C3:C8:1D10	480,329
C₃⋊C₈⋊₂D₁₀ = D₄₀⋊S₃	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	4	C3:C8:2D10	480,330
C₃⋊C₈⋊₃D₁₀ = D₂₀⋊₁₉D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	4+	C3:C8:3D10	480,377
C₃⋊C₈⋊₄D₁₀ = D₆₀⋊₃₀C₂²	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	4	C3:C8:4D10	480,388
C₃⋊C₈⋊₅D₁₀ = Dic₁₀⋊₃D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	8+	C3:C8:5D10	480,554
C₃⋊C₈⋊₆D₁₀ = D₃₀.₈D₄	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	8-	C3:C8:6D10	480,558
C₃⋊C₈⋊₇D₁₀ = D₁₂⋊₁₀D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	8-	C3:C8:7D10	480,565
C₃⋊C₈⋊₈D₁₀ = D₂₀.₉D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	8+	C3:C8:8D10	480,567
C₃⋊C₈⋊₉D₁₀ = Dic₆⋊D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	8+	C3:C8:9D10	480,574
C₃⋊C₈⋊₁₀D₁₀ = D₁₂⋊₅D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	8+	C3:C8:10D10	480,576
C₃⋊C₈⋊₁₁D₁₀ = D₂₀⋊D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	8+	C3:C8:11D10	480,578
C₃⋊C₈⋊₁₂D₁₀ = D₆₀⋊C₂²	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	120	8+	C3:C8:12D10	480,582
C₃⋊C₈⋊₁₃D₁₀ = D₅×D₄⋊S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	8+	C3:C8:13D10	480,553
C₃⋊C₈⋊₁₄D₁₀ = D₁₅⋊D₈	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	8+	C3:C8:14D10	480,557
C₃⋊C₈⋊₁₅D₁₀ = D₅×D₄.S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	8-	C3:C8:15D10	480,559
C₃⋊C₈⋊₁₆D₁₀ = Dic₁₀⋊D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	8+	C3:C8:16D10	480,563
C₃⋊C₈⋊₁₇D₁₀ = D₅×Q₈⋊₂S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	8+	C3:C8:17D10	480,577
C₃⋊C₈⋊₁₈D₁₀ = D₁₅⋊SD₁₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	8-	C3:C8:18D10	480,581
C₃⋊C₈⋊₁₉D₁₀ = D₅×C₈⋊S₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:19D10	480,320
C₃⋊C₈⋊₂₀D₁₀ = C₄₀⋊D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:20D10	480,322
C₃⋊C₈⋊₂₁D₁₀ = D₅×C₄.Dic₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:21D10	480,358
C₃⋊C₈⋊₂₂D₁₀ = D₁₅⋊₄M₄(2)	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:22D10	480,368
C₃⋊C₈⋊₂₃D₁₀ = S₃×C₄₀⋊C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:23D10	480,327
C₃⋊C₈⋊₂₄D₁₀ = S₃×D₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	120	4+	C3:C8:24D10	480,328
C₃⋊C₈⋊₂₅D₁₀ = C₂×C₃⋊D₄₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240		C3:C8:25D10	480,376
C₃⋊C₈⋊₂₆D₁₀ = C₂×C₆.D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240		C3:C8:26D10	480,386
C₃⋊C₈⋊₂₇D₁₀ = C₂×C₁₅⋊SD₁₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240		C3:C8:27D10	480,390
C₃⋊C₈⋊₂₈D₁₀ = S₃×C₈⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	120	4	C3:C8:28D10	480,321
C₃⋊C₈⋊₂₉D₁₀ = C₂×C₂₀.₃₂D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240		C3:C8:29D10	480,369
C₃⋊C₈⋊₃₀D₁₀ = C₂×D₃₀.₅C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240		C3:C8:30D10	480,371
C₃⋊C₈⋊₃₁D₁₀ = S₃×C₈×D₅	φ: trivial image	120	4	C3:C8:31D10	480,319
C₃⋊C₈⋊₃₂D₁₀ = C₂×D₁₅⋊₂C₈	φ: trivial image	240		C3:C8:32D10	480,365

Non-split extensions G=N.Q with N=C₃⋊C₈ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₈.₁D₁₀ = Dic₂₀⋊S₃	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	4	C3:C8.1D10	480,339
C₃⋊C₈.₂D₁₀ = C₄₀.₂D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	4-	C3:C8.2D10	480,350
C₃⋊C₈.₃D₁₀ = C₆₀.₆₃D₄	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	4-	C3:C8.3D10	480,389
C₃⋊C₈.₄D₁₀ = C₁₂.D₂₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	4	C3:C8.4D10	480,391
C₃⋊C₈.₅D₁₀ = C₆₀.₈C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	8-	C3:C8.5D10	480,560
C₃⋊C₈.₆D₁₀ = D₃₀.₉D₄	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	8-	C3:C8.6D10	480,564
C₃⋊C₈.₇D₁₀ = D₂₀.₁₃D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	8-	C3:C8.7D10	480,584
C₃⋊C₈.₈D₁₀ = C₆₀.C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	8+	C3:C8.8D10	480,588
C₃⋊C₈.₉D₁₀ = D₁₂.₂₇D₁₀	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	8-	C3:C8.9D10	480,589
C₃⋊C₈.₁₀D₁₀ = C₆₀.₃₉C₂³	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	8+	C3:C8.10D10	480,591
C₃⋊C₈.₁₁D₁₀ = D₂₀.₁₇D₆	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	8-	C3:C8.11D10	480,598
C₃⋊C₈.₁₂D₁₀ = D₃₀.₄₄D₄	φ: D₁₀/C₅ → C₂² ⊆ Out C₃⋊C₈	240	8-	C3:C8.12D10	480,600
C₃⋊C₈.₁₃D₁₀ = D₁₂.₂₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8-	C3:C8.13D10	480,566
C₃⋊C₈.₁₄D₁₀ = C₆₀.₁₆C₂³	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8+	C3:C8.14D10	480,568
C₃⋊C₈.₁₅D₁₀ = D₂₀.₁₀D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8-	C3:C8.15D10	480,573
C₃⋊C₈.₁₆D₁₀ = D₃₀.₁₁D₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8-	C3:C8.16D10	480,575
C₃⋊C₈.₁₇D₁₀ = D₅×C₃⋊Q₁₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8-	C3:C8.17D10	480,583
C₃⋊C₈.₁₈D₁₀ = D₁₅⋊Q₁₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8-	C3:C8.18D10	480,587
C₃⋊C₈.₁₉D₁₀ = D₂₀.₁₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8-	C3:C8.19D10	480,590
C₃⋊C₈.₂₀D₁₀ = D₂₀.D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8+	C3:C8.20D10	480,592
C₃⋊C₈.₂₁D₁₀ = D₂₀.₁₆D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8+	C3:C8.21D10	480,597
C₃⋊C₈.₂₂D₁₀ = D₁₂.D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	8+	C3:C8.22D10	480,599
C₃⋊C₈.₂₃D₁₀ = C₄₀.₃₄D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.23D10	480,342
C₃⋊C₈.₂₄D₁₀ = C₄₀.₃₅D₆	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.24D10	480,344
C₃⋊C₈.₂₅D₁₀ = D₂₀.₂Dic₃	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.25D10	480,360
C₃⋊C₈.₂₆D₁₀ = D₆₀.₅C₄	φ: D₁₀/D₅ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.26D10	480,366
C₃⋊C₈.₂₇D₁₀ = S₃×Dic₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4-	C3:C8.27D10	480,338
C₃⋊C₈.₂₈D₁₀ = D₆.₁D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.28D10	480,348
C₃⋊C₈.₂₉D₁₀ = D₄₀⋊₇S₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4-	C3:C8.29D10	480,349
C₃⋊C₈.₃₀D₁₀ = D₁₂₀⋊₅C₂	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4+	C3:C8.30D10	480,351
C₃⋊C₈.₃₁D₁₀ = D₂₀.₃₁D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.31D10	480,387
C₃⋊C₈.₃₂D₁₀ = C₂×C₃⋊Dic₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	480		C3:C8.32D10	480,395
C₃⋊C₈.₃₃D₁₀ = C₄₀.₅₄D₆	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.33D10	480,341
C₃⋊C₈.₃₄D₁₀ = D₂₀.₃Dic₃	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.34D10	480,359
C₃⋊C₈.₃₅D₁₀ = D₆₀.₄C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out C₃⋊C₈	240	4	C3:C8.35D10	480,367
C₃⋊C₈.₃₆D₁₀ = C₄₀.₅₅D₆	φ: trivial image	240	4	C3:C8.36D10	480,343

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Extensions 1→N→G→Q→1 with N=C3⋊C8 and Q=D10

Extensions 1→N→G→Q→1 with N=C₃⋊C₈ and Q=D₁₀