Extensions 1→N→G→Q→1 with N=C₄.Dic₅ and Q=C₂²

Direct product G=N×Q with N=C₄.Dic₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄.Dic₅		160		C2^2xC4.Dic5	320,1453

Semidirect products G=N:Q with N=C₄.Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₅⋊₁C₂² = D₅×C₄.D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	40	8+	C4.Dic5:1C2^2	320,371
C₄.Dic₅⋊₂C₂² = D₅×C₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	40	4	C4.Dic5:2C2^2	320,447
C₄.Dic₅⋊₃C₂² = C₄²⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5:3C2^2	320,448
C₄.Dic₅⋊₄C₂² = D₄⋊₄D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	40	4+	C4.Dic5:4C2^2	320,449
C₄.Dic₅⋊₅C₂² = M₄(2)⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5:5C2^2	320,452
C₄.Dic₅⋊₆C₂² = C₄²⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5:6C2^2	320,688
C₄.Dic₅⋊₇C₂² = D₂₀⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	40	4	C4.Dic5:7C2^2	320,704
C₄.Dic₅⋊₈C₂² = D₂₀⋊₁₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	40	8+	C4.Dic5:8C2^2	320,825
C₄.Dic₅⋊₉C₂² = D₂₀.₃₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5:9C2^2	320,829
C₄.Dic₅⋊₁₀C₂² = 2₊¹⁺⁴⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	40	8+	C4.Dic5:10C2^2	320,868
C₄.Dic₅⋊₁₁C₂² = 2₊¹⁺⁴.D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5:11C2^2	320,869
C₄.Dic₅⋊₁₂C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	40	8+	C4.Dic5:12C2^2	320,1444
C₄.Dic₅⋊₁₃C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5:13C2^2	320,1445
C₄.Dic₅⋊₁₄C₂² = D₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5:14C2^2	320,1448
C₄.Dic₅⋊₁₅C₂² = D₄₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5:15C2^2	320,1449
C₄.Dic₅⋊₁₆C₂² = D₂₀.₃₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5:16C2^2	320,1507
C₄.Dic₅⋊₁₇C₂² = D₂₀.₃₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5:17C2^2	320,1508
C₄.Dic₅⋊₁₈C₂² = D₂₀.₃₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5:18C2^2	320,1509
C₄.Dic₅⋊₁₉C₂² = C₂×D₂₀⋊₄C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80		C4.Dic5:19C2^2	320,554
C₄.Dic₅⋊₂₀C₂² = C₄²⋊₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:20C2^2	320,632
C₄.Dic₅⋊₂₁C₂² = C₂×C₂₀.₄₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80		C4.Dic5:21C2^2	320,757
C₄.Dic₅⋊₂₂C₂² = C₂×C₂₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80		C4.Dic5:22C2^2	320,843
C₄.Dic₅⋊₂₃C₂² = C₂×D₄⋊₂Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80		C4.Dic5:23C2^2	320,862
C₄.Dic₅⋊₂₄C₂² = (D₄×C₁₀)⋊₂₁C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:24C2^2	320,863
C₄.Dic₅⋊₂₅C₂² = C₂×D₅×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80		C4.Dic5:25C2^2	320,1415
C₄.Dic₅⋊₂₆C₂² = D₅×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:26C2^2	320,1421
C₄.Dic₅⋊₂₇C₂² = C₂₀.₇₂C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:27C2^2	320,1422
C₄.Dic₅⋊₂₈C₂² = D₈⋊₁₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:28C2^2	320,1429
C₄.Dic₅⋊₂₉C₂² = D₂₀.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:29C2^2	320,1434
C₄.Dic₅⋊₃₀C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4+	C4.Dic5:30C2^2	320,1441
C₄.Dic₅⋊₃₁C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:31C2^2	320,1442
C₄.Dic₅⋊₃₂C₂² = C₂×D₄.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80		C4.Dic5:32C2^2	320,1465
C₄.Dic₅⋊₃₃C₂² = C₂×C₂₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160		C4.Dic5:33C2^2	320,1480
C₄.Dic₅⋊₃₄C₂² = C₂×D₄.Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160		C4.Dic5:34C2^2	320,1490
C₄.Dic₅⋊₃₅C₂² = C₂₀.₇₆C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:35C2^2	320,1491
C₄.Dic₅⋊₃₆C₂² = C₂×D₄⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80		C4.Dic5:36C2^2	320,1492
C₄.Dic₅⋊₃₇C₂² = C₂₀.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5:37C2^2	320,1494
C₄.Dic₅⋊₃₈C₂² = C₂×D₄.₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160		C4.Dic5:38C2^2	320,1495
C₄.Dic₅⋊₃₉C₂² = C₂×D₂₀.₃C₄	φ: trivial image	160		C4.Dic5:39C2^2	320,1410
C₄.Dic₅⋊₄₀C₂² = C₄₀.₄₇C₂³	φ: trivial image	80	4	C4.Dic5:40C2^2	320,1417

Non-split extensions G=N.Q with N=C₄.Dic₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.Dic₅.₁C₂² = M₄(2).₁₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5.1C2^2	320,372
C₄.Dic₅.₂C₂² = D₂₀.₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5.2C2^2	320,375
C₄.Dic₅.₃C₂² = D₂₀.₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5.3C2^2	320,376
C₄.Dic₅.₄C₂² = D₅×C₄.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5.4C2^2	320,377
C₄.Dic₅.₅C₂² = M₄(2).₂₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5.5C2^2	320,378
C₄.Dic₅.₆C₂² = D₂₀.₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5.6C2^2	320,381
C₄.Dic₅.₇C₂² = D₂₀.₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	160	8-	C4.Dic5.7C2^2	320,382
C₄.Dic₅.₈C₂² = M₄(2).₂₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.8C2^2	320,450
C₄.Dic₅.₉C₂² = C₄².₁₉₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.9C2^2	320,451
C₄.Dic₅.₁₀C₂² = D₄.₉D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4-	C4.Dic5.10C2^2	320,453
C₄.Dic₅.₁₁C₂² = D₄.₁₀D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.11C2^2	320,454
C₄.Dic₅.₁₂C₂² = D₅×C₈.C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.12C2^2	320,519
C₄.Dic₅.₁₃C₂² = M₄(2).₂₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.13C2^2	320,520
C₄.Dic₅.₁₄C₂² = D₂₀.₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.14C2^2	320,689
C₄.Dic₅.₁₅C₂² = D₂₀.₁₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.15C2^2	320,722
C₄.Dic₅.₁₆C₂² = D₄.₃D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.16C2^2	320,768
C₄.Dic₅.₁₇C₂² = D₄.₄D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4+	C4.Dic5.17C2^2	320,769
C₄.Dic₅.₁₈C₂² = D₄.₅D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	160	4-	C4.Dic5.18C2^2	320,770
C₄.Dic₅.₁₉C₂² = C₄₀.₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.19C2^2	320,787
C₄.Dic₅.₂₀C₂² = C₄₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.20C2^2	320,804
C₄.Dic₅.₂₁C₂² = C₄₀.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	160	4	C4.Dic5.21C2^2	320,819
C₄.Dic₅.₂₂C₂² = D₈⋊₅Dic₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.22C2^2	320,823
C₄.Dic₅.₂₃C₂² = D₈⋊₄Dic₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	4	C4.Dic5.23C2^2	320,824
C₄.Dic₅.₂₄C₂² = M₄(2).D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5.24C2^2	320,826
C₄.Dic₅.₂₅C₂² = M₄(2).₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5.25C2^2	320,827
C₄.Dic₅.₂₆C₂² = D₂₀.₃₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5.26C2^2	320,828
C₄.Dic₅.₂₇C₂² = M₄(2).₁₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5.27C2^2	320,830
C₄.Dic₅.₂₈C₂² = M₄(2).₁₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	160	8-	C4.Dic5.28C2^2	320,831
C₄.Dic₅.₂₉C₂² = D₂₀.₄₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5.29C2^2	320,832
C₄.Dic₅.₃₀C₂² = 2_-¹⁺⁴⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8+	C4.Dic5.30C2^2	320,872
C₄.Dic₅.₃₁C₂² = 2_-¹⁺⁴.₂D₅	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	80	8-	C4.Dic5.31C2^2	320,873
C₄.Dic₅.₃₂C₂² = D₂₀.₃₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄.Dic₅	160	8-	C4.Dic5.32C2^2	320,1510
C₄.Dic₅.₃₃C₂² = D₄₀⋊₁₇C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	2	C4.Dic5.33C2^2	320,327
C₄.Dic₅.₃₄C₂² = D₄₀⋊₁₀C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.34C2^2	320,344
C₄.Dic₅.₃₅C₂² = C₂×C₄₀.₆C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160		C4.Dic5.35C2^2	320,734
C₄.Dic₅.₃₆C₂² = M₄(2).Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.36C2^2	320,752
C₄.Dic₅.₃₇C₂² = C₈.₂₀D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160	4-	C4.Dic5.37C2^2	320,523
C₄.Dic₅.₃₈C₂² = C₈.₂₁D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4+	C4.Dic5.38C2^2	320,524
C₄.Dic₅.₃₉C₂² = C₈.₂₄D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.39C2^2	320,525
C₄.Dic₅.₄₀C₂² = C₂×C₂₀.₅₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160		C4.Dic5.40C2^2	320,750
C₄.Dic₅.₄₁C₂² = C₂³.Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.41C2^2	320,751
C₄.Dic₅.₄₂C₂² = M₄(2).₃₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.42C2^2	320,759
C₄.Dic₅.₄₃C₂² = C₂×C₄.₁₂D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160		C4.Dic5.43C2^2	320,763
C₄.Dic₅.₄₄C₂² = C₄₀.₉₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.44C2^2	320,771
C₄.Dic₅.₄₅C₂² = C₄₀.₅₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.45C2^2	320,772
C₄.Dic₅.₄₆C₂² = C₂×C₂₀.₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160		C4.Dic5.46C2^2	320,853
C₄.Dic₅.₄₇C₂² = (D₄×C₁₀).₂₉C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	80	4	C4.Dic5.47C2^2	320,864
C₄.Dic₅.₄₈C₂² = D₂₀.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160	4	C4.Dic5.48C2^2	320,1438
C₄.Dic₅.₄₉C₂² = D₂₀.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄.Dic₅	160	4-	C4.Dic5.49C2^2	320,1443

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Extensions 1→N→G→Q→1 with N=C4.Dic5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄.Dic₅ and Q=C₂²