Extensions 1→N→G→Q→1 with N=D₄⋊₂D₅ and Q=C₂²

Direct product G=N×Q with N=D₄⋊₂D₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄⋊₂D₅		160		C2^2xD4:2D5	320,1613

Semidirect products G=N:Q with N=D₄⋊₂D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₅⋊₁C₂² = D₈⋊₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	4	D4:2D5:1C2^2	320,1429
D₄⋊₂D₅⋊₂C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	4	D4:2D5:2C2^2	320,1442
D₄⋊₂D₅⋊₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	8+	D4:2D5:3C2^2	320,1446
D₄⋊₂D₅⋊₄C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5:4C2^2	320,1447
D₄⋊₂D₅⋊₅C₂² = C₂×D₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80		D4:2D5:5C2^2	320,1427
D₄⋊₂D₅⋊₆C₂² = C₂×D₈⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	160		D4:2D5:6C2^2	320,1428
D₄⋊₂D₅⋊₇C₂² = C₂×SD₁₆⋊₃D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	160		D4:2D5:7C2^2	320,1433
D₄⋊₂D₅⋊₈C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	4	D4:2D5:8C2^2	320,1439
D₄⋊₂D₅⋊₉C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	40	8+	D4:2D5:9C2^2	320,1444
D₄⋊₂D₅⋊₁₀C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5:10C2^2	320,1445
D₄⋊₂D₅⋊₁₁C₂² = D₄₀⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8+	D4:2D5:11C2^2	320,1449
D₄⋊₂D₅⋊₁₂C₂² = C₂×D₄⋊₆D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80		D4:2D5:12C2^2	320,1614
D₄⋊₂D₅⋊₁₃C₂² = C₂×D₄.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	160		D4:2D5:13C2^2	320,1620
D₄⋊₂D₅⋊₁₄C₂² = C₁₀.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	4	D4:2D5:14C2^2	320,1621
D₄⋊₂D₅⋊₁₅C₂² = D₅×2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	40	8+	D4:2D5:15C2^2	320,1622
D₄⋊₂D₅⋊₁₆C₂² = D₂₀.₃₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5:16C2^2	320,1623
D₄⋊₂D₅⋊₁₇C₂² = D₅×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5:17C2^2	320,1624
D₄⋊₂D₅⋊₁₈C₂² = C₂×D₅×C₄○D₄	φ: trivial image	80		D4:2D5:18C2^2	320,1618
D₄⋊₂D₅⋊₁₉C₂² = D₂₀.₃₉C₂³	φ: trivial image	80	8+	D4:2D5:19C2^2	320,1625

Non-split extensions G=N.Q with N=D₄⋊₂D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₂D₅.₁C₂² = D₂₀.₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	4	D4:2D5.1C2^2	320,1434
D₄⋊₂D₅.₂C₂² = D₂₀.₄₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	160	4-	D4:2D5.2C2^2	320,1443
D₄⋊₂D₅.₃C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	160	8-	D4:2D5.3C2^2	320,1451
D₄⋊₂D₅.₄C₂² = D₈⋊₅F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5.4C2^2	320,1070
D₄⋊₂D₅.₅C₂² = D₈⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5.5C2^2	320,1071
D₄⋊₂D₅.₆C₂² = SD₁₆⋊₃F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	8	D4:2D5.6C2^2	320,1074
D₄⋊₂D₅.₇C₂² = SD₁₆⋊₂F₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊₂D₅	80	8	D4:2D5.7C2^2	320,1075
D₄⋊₂D₅.₈C₂² = C₂×SD₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	160		D4:2D5.8C2^2	320,1432
D₄⋊₂D₅.₉C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	4	D4:2D5.9C2^2	320,1440
D₄⋊₂D₅.₁₀C₂² = D₅×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5.10C2^2	320,1448
D₄⋊₂D₅.₁₁C₂² = C₂×D₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80		D4:2D5.11C2^2	320,1106
D₄⋊₂D₅.₁₂C₂² = (C₂×D₄)⋊₆F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5.12C2^2	320,1107
D₄⋊₂D₅.₁₃C₂² = D₅⋊C₄≀C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	40	8	D4:2D5.13C2^2	320,1130
D₄⋊₂D₅.₁₄C₂² = D₄⋊F₅⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8	D4:2D5.14C2^2	320,1133
D₄⋊₂D₅.₁₅C₂² = C₂×D₄.F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	160		D4:2D5.15C2^2	320,1593
D₄⋊₂D₅.₁₆C₂² = Dic₅.C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8-	D4:2D5.16C2^2	320,1594
D₄⋊₂D₅.₁₇C₂² = Dic₅.₂₁C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8	D4:2D5.17C2^2	320,1601
D₄⋊₂D₅.₁₈C₂² = Dic₅.₂₂C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊₂D₅	80	8	D4:2D5.18C2^2	320,1602

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