Extensions 1→N→G→Q→1 with N=Dic₂₀ and Q=C₂²

Direct product G=N×Q with N=Dic₂₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×Dic₂₀		320		C2^2xDic20	320,1414

Semidirect products G=N:Q with N=Dic₂₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀⋊₁C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	8-	Dic20:1C2^2	320,1445
Dic₂₀⋊₂C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	8-	Dic20:2C2^2	320,1447
Dic₂₀⋊₃C₂² = D₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	8-	Dic20:3C2^2	320,1448
Dic₂₀⋊₄C₂² = D₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	4	Dic20:4C2^2	320,538
Dic₂₀⋊₅C₂² = D₅×SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	80	4	Dic20:5C2^2	320,540
Dic₂₀⋊₆C₂² = C₂×C₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:6C2^2	320,530
Dic₂₀⋊₇C₂² = D₈₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4+	Dic20:7C2^2	320,535
Dic₂₀⋊₈C₂² = C₂×C₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:8C2^2	320,1419
Dic₂₀⋊₉C₂² = C₄₀.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:9C2^2	320,1420
Dic₂₀⋊₁₀C₂² = D₄.₁₁D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:10C2^2	320,1423
Dic₂₀⋊₁₁C₂² = D₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:11C2^2	320,774
Dic₂₀⋊₁₂C₂² = C₂×D₈.D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:12C2^2	320,775
Dic₂₀⋊₁₃C₂² = C₂×D₈⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:13C2^2	320,1428
Dic₂₀⋊₁₄C₂² = D₈⋊₁₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:14C2^2	320,1429
Dic₂₀⋊₁₅C₂² = C₂×D₅×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:15C2^2	320,1435
Dic₂₀⋊₁₆C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:16C2^2	320,1439
Dic₂₀⋊₁₇C₂² = C₂×SD₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160		Dic20:17C2^2	320,1432
Dic₂₀⋊₁₈C₂² = D₂₀.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:18C2^2	320,1434
Dic₂₀⋊₁₉C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	80	4	Dic20:19C2^2	320,1440
Dic₂₀⋊₂₀C₂² = C₂×D₄₀⋊₇C₂	φ: trivial image	160		Dic20:20C2^2	320,1413
Dic₂₀⋊₂₁C₂² = D₄.₁₂D₂₀	φ: trivial image	80	4+	Dic20:21C2^2	320,1424

Non-split extensions G=N.Q with N=Dic₂₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₂₀.₁C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	8-	Dic20.1C2^2	320,1451
Dic₂₀.₂C₂² = D₁₆⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4-	Dic20.2C2^2	320,539
Dic₂₀.₃C₂² = SD₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4-	Dic20.3C2^2	320,542
Dic₂₀.₄C₂² = SD₃₂⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4	Dic20.4C2^2	320,543
Dic₂₀.₅C₂² = D₅×Q₃₂	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4-	Dic20.5C2^2	320,544
Dic₂₀.₆C₂² = Q₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out Dic₂₀	160	4	Dic20.6C2^2	320,545
Dic₂₀.₇C₂² = D₈₀⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	2	Dic20.7C2^2	320,531
Dic₂₀.₈C₂² = C₂×Dic₄₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20.8C2^2	320,532
Dic₂₀.₉C₂² = C₁₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.9C2^2	320,536
Dic₂₀.₁₀C₂² = D₄.₁₃D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.10C2^2	320,1425
Dic₂₀.₁₁C₂² = Q₁₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4	Dic20.11C2^2	320,806
Dic₂₀.₁₂C₂² = C₂×C₅⋊Q₃₂	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	320		Dic20.12C2^2	320,807
Dic₂₀.₁₃C₂² = C₄₀.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4	Dic20.13C2^2	320,821
Dic₂₀.₁₄C₂² = C₄₀.₃₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.14C2^2	320,822
Dic₂₀.₁₅C₂² = D₂₀.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4	Dic20.15C2^2	320,1438
Dic₂₀.₁₆C₂² = D₂₀.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out Dic₂₀	160	4-	Dic20.16C2^2	320,1443

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Extensions 1→N→G→Q→1 with N=Dic20 and Q=C22

Extensions 1→N→G→Q→1 with N=Dic₂₀ and Q=C₂²