Extensions 1→N→G→Q→1 with N=Q₈⋊₂D₅ and Q=C₂²

Direct product G=N×Q with N=Q₈⋊₂D₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×Q₈⋊₂D₅		160		C2^2xQ8:2D5	320,1616

Semidirect products G=N:Q with N=Q₈⋊₂D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₅⋊₁C₂² = D₂₀.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5:1C2^2	320,1434
Q₈⋊₂D₅⋊₂C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	4+	Q8:2D5:2C2^2	320,1441
Q₈⋊₂D₅⋊₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5:3C2^2	320,1446
Q₈⋊₂D₅⋊₄C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5:4C2^2	320,1450
Q₈⋊₂D₅⋊₅C₂² = C₂×D₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80		Q8:2D5:5C2^2	320,1431
Q₈⋊₂D₅⋊₆C₂² = C₂×SD₁₆⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5:6C2^2	320,1433
Q₈⋊₂D₅⋊₇C₂² = C₂×Q₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5:7C2^2	320,1437
Q₈⋊₂D₅⋊₈C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5:8C2^2	320,1439
Q₈⋊₂D₅⋊₉C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	40	8+	Q8:2D5:9C2^2	320,1444
Q₈⋊₂D₅⋊₁₀C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8-	Q8:2D5:10C2^2	320,1445
Q₈⋊₂D₅⋊₁₁C₂² = D₄₀⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5:11C2^2	320,1449
Q₈⋊₂D₅⋊₁₂C₂² = C₂×Q₈.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5:12C2^2	320,1617
Q₈⋊₂D₅⋊₁₃C₂² = C₂×D₄⋊₈D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80		Q8:2D5:13C2^2	320,1619
Q₈⋊₂D₅⋊₁₄C₂² = C₁₀.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5:14C2^2	320,1621
Q₈⋊₂D₅⋊₁₅C₂² = D₅×2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	40	8+	Q8:2D5:15C2^2	320,1622
Q₈⋊₂D₅⋊₁₆C₂² = D₅×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8-	Q8:2D5:16C2^2	320,1624
Q₈⋊₂D₅⋊₁₇C₂² = D₂₀.₃₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5:17C2^2	320,1625
Q₈⋊₂D₅⋊₁₈C₂² = C₂×D₅×C₄○D₄	φ: trivial image	80		Q8:2D5:18C2^2	320,1618
Q₈⋊₂D₅⋊₁₉C₂² = D₂₀.₃₇C₂³	φ: trivial image	80	8-	Q8:2D5:19C2^2	320,1623

Non-split extensions G=N.Q with N=Q₈⋊₂D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₅.₁C₂² = D₂₀.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	160	4	Q8:2D5.1C2^2	320,1438
Q₈⋊₂D₅.₂C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5.2C2^2	320,1442
Q₈⋊₂D₅.₃C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	160	8-	Q8:2D5.3C2^2	320,1451
Q₈⋊₂D₅.₄C₂² = SD₁₆⋊₃F₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	8	Q8:2D5.4C2^2	320,1074
Q₈⋊₂D₅.₅C₂² = SD₁₆⋊₂F₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	8	Q8:2D5.5C2^2	320,1075
Q₈⋊₂D₅.₆C₂² = Q₁₆⋊₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5.6C2^2	320,1078
Q₈⋊₂D₅.₇C₂² = Q₁₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5.7C2^2	320,1079
Q₈⋊₂D₅.₈C₂² = C₂×Q₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5.8C2^2	320,1436
Q₈⋊₂D₅.₉C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	4	Q8:2D5.9C2^2	320,1440
Q₈⋊₂D₅.₁₀C₂² = D₅×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8-	Q8:2D5.10C2^2	320,1448
Q₈⋊₂D₅.₁₁C₂² = C₂×Q₈⋊₂F₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80		Q8:2D5.11C2^2	320,1121
Q₈⋊₂D₅.₁₂C₂² = (C₂×Q₈)⋊₆F₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5.12C2^2	320,1122
Q₈⋊₂D₅.₁₃C₂² = D₅⋊C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	40	8	Q8:2D5.13C2^2	320,1130
Q₈⋊₂D₅.₁₄C₂² = D₄⋊F₅⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8	Q8:2D5.14C2^2	320,1133
Q₈⋊₂D₅.₁₅C₂² = C₂×Q₈.F₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	160		Q8:2D5.15C2^2	320,1597
Q₈⋊₂D₅.₁₆C₂² = Dic₅.₂₀C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8+	Q8:2D5.16C2^2	320,1598
Q₈⋊₂D₅.₁₇C₂² = Dic₅.₂₁C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8	Q8:2D5.17C2^2	320,1601
Q₈⋊₂D₅.₁₈C₂² = Dic₅.₂₂C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈⋊₂D₅	80	8	Q8:2D5.18C2^2	320,1602

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