Extensions 1→N→G→Q→1 with N=Q₈⋊D₅ and Q=C₂²

Direct product G=N×Q with N=Q₈⋊D₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×Q₈⋊D₅		160		C2^2xQ8:D5	320,1479

Semidirect products G=N:Q with N=Q₈⋊D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₅⋊₁C₂² = D₂₀.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₅	80	4	Q8:D5:1C2^2	320,1434
Q₈⋊D₅⋊₂C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₅	80	4+	Q8:D5:2C2^2	320,1441
Q₈⋊D₅⋊₃C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₅	80	4	Q8:D5:3C2^2	320,1442
Q₈⋊D₅⋊₄C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₅	40	8+	Q8:D5:4C2^2	320,1444
Q₈⋊D₅⋊₅C₂² = D₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₅	80	8-	Q8:D5:5C2^2	320,1448
Q₈⋊D₅⋊₆C₂² = D₄₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₅	80	8+	Q8:D5:6C2^2	320,1449
Q₈⋊D₅⋊₇C₂² = C₂×D₅×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80		Q8:D5:7C2^2	320,1430
Q₈⋊D₅⋊₈C₂² = C₂×D₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80		Q8:D5:8C2^2	320,1431
Q₈⋊D₅⋊₉C₂² = C₂×Q₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	160		Q8:D5:9C2^2	320,1436
Q₈⋊D₅⋊₁₀C₂² = C₂×Q₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	160		Q8:D5:10C2^2	320,1437
Q₈⋊D₅⋊₁₁C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80	4	Q8:D5:11C2^2	320,1439
Q₈⋊D₅⋊₁₂C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80	4	Q8:D5:12C2^2	320,1440
Q₈⋊D₅⋊₁₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80	8+	Q8:D5:13C2^2	320,1446
Q₈⋊D₅⋊₁₄C₂² = D₈⋊₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80	8-	Q8:D5:14C2^2	320,1447
Q₈⋊D₅⋊₁₅C₂² = C₄₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80	8+	Q8:D5:15C2^2	320,1450
Q₈⋊D₅⋊₁₆C₂² = C₂×C₂₀.C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	160		Q8:D5:16C2^2	320,1480
Q₈⋊D₅⋊₁₇C₂² = C₂×D₄⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80		Q8:D5:17C2^2	320,1492
Q₈⋊D₅⋊₁₈C₂² = C₂₀.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80	4	Q8:D5:18C2^2	320,1494
Q₈⋊D₅⋊₁₉C₂² = D₂₀.₃₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80	8+	Q8:D5:19C2^2	320,1507
Q₈⋊D₅⋊₂₀C₂² = D₂₀.₃₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	80	8+	Q8:D5:20C2^2	320,1509
Q₈⋊D₅⋊₂₁C₂² = C₂×D₄.₈D₁₀	φ: trivial image	160		Q8:D5:21C2^2	320,1493
Q₈⋊D₅⋊₂₂C₂² = D₂₀.₃₃C₂³	φ: trivial image	80	8-	Q8:D5:22C2^2	320,1508

Non-split extensions G=N.Q with N=Q₈⋊D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₅.C₂² = D₂₀.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊D₅	160	4	Q8:D5.C2^2	320,1438
Q₈⋊D₅.₂C₂² = D₂₀.₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	160	8-	Q8:D5.2C2^2	320,1451
Q₈⋊D₅.₃C₂² = D₂₀.₃₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊D₅	160	8-	Q8:D5.3C2^2	320,1510

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Extensions 1→N→G→Q→1 with N=Q8⋊D5 and Q=C22

Extensions 1→N→G→Q→1 with N=Q₈⋊D₅ and Q=C₂²