Extensions 1→N→G→Q→1 with N=C₅:Q₁₆ and Q=C₂²

Direct product G=NxQ with N=C₅:Q₁₆ and Q=C₂²

		d	ρ	Label	ID
C₂²xC₅:Q₁₆		320		C2^2xC5:Q16	320,1481

Semidirect products G=N:Q with N=C₅:Q₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:Q₁₆:₁C₂² = D₂₀.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅:Q₁₆	80	4	C5:Q16:1C2^2	320,1434
C₅:Q₁₆:₂C₂² = D₈:₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅:Q₁₆	80	4	C5:Q16:2C2^2	320,1442
C₅:Q₁₆:₃C₂² = SD₁₆:D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₅:Q₁₆	80	8-	C5:Q16:3C2^2	320,1445
C₅:Q₁₆:₄C₂² = D₅xC₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅:Q₁₆	80	8-	C5:Q16:4C2^2	320,1448
C₅:Q₁₆:₅C₂² = D₄₀:C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₅:Q₁₆	80	8+	C5:Q16:5C2^2	320,1449
C₅:Q₁₆:₆C₂² = C₂xSD₁₆:D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	160		C5:Q16:6C2^2	320,1432
C₅:Q₁₆:₇C₂² = C₂xSD₁₆:₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	160		C5:Q16:7C2^2	320,1433
C₅:Q₁₆:₈C₂² = C₂xD₅xQ₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	160		C5:Q16:8C2^2	320,1435
C₅:Q₁₆:₉C₂² = C₂xQ₁₆:D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	160		C5:Q16:9C2^2	320,1436
C₅:Q₁₆:₁₀C₂² = D₅xC₄oD₈	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	80	4	C5:Q16:10C2^2	320,1439
C₅:Q₁₆:₁₁C₂² = Q₁₆:D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	80	4	C5:Q16:11C2^2	320,1440
C₅:Q₁₆:₁₂C₂² = D₈:₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	80	8+	C5:Q16:12C2^2	320,1446
C₅:Q₁₆:₁₃C₂² = D₈:₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	80	8-	C5:Q16:13C2^2	320,1447
C₅:Q₁₆:₁₄C₂² = C₄₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	80	8+	C5:Q16:14C2^2	320,1450
C₅:Q₁₆:₁₅C₂² = C₂xC₂₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	160		C5:Q16:15C2^2	320,1480
C₅:Q₁₆:₁₆C₂² = C₂₀.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	80	4	C5:Q16:16C2^2	320,1494
C₅:Q₁₆:₁₇C₂² = C₂xD₄.₉D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	160		C5:Q16:17C2^2	320,1495
C₅:Q₁₆:₁₈C₂² = D₂₀.₃₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	80	8-	C5:Q16:18C2^2	320,1508
C₅:Q₁₆:₁₉C₂² = D₂₀.₃₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	80	8+	C5:Q16:19C2^2	320,1509
C₅:Q₁₆:₂₀C₂² = C₂xD₄.₈D₁₀	φ: trivial image	160		C5:Q16:20C2^2	320,1493
C₅:Q₁₆:₂₁C₂² = D₂₀.₃₂C₂³	φ: trivial image	80	8+	C5:Q16:21C2^2	320,1507

Non-split extensions G=N.Q with N=C₅:Q₁₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₅:Q₁₆.₁C₂² = D₂₀.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅:Q₁₆	160	4	C5:Q16.1C2^2	320,1438
C₅:Q₁₆.₂C₂² = D₂₀.₄₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₅:Q₁₆	160	4-	C5:Q16.2C2^2	320,1443
C₅:Q₁₆.₃C₂² = D₂₀.₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₅:Q₁₆	160	8-	C5:Q16.3C2^2	320,1451
C₅:Q₁₆.₄C₂² = D₂₀.₃₅C₂³	φ: trivial image	160	8-	C5:Q16.4C2^2	320,1510

Extensions 1→N→G→Q→1 with N=C5:Q16 and Q=C22

Extensions 1→N→G→Q→1 with N=C₅:Q₁₆ and Q=C₂²