Extensions 1→N→G→Q→1 with N=D₄₀ and Q=C₂²

Direct product G=N×Q with N=D₄₀ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄₀		160		C2^2xD40	320,1412

Semidirect products G=N:Q with N=D₄₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀⋊₁C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	40	8+	D40:1C2^2	320,1444
D₄₀⋊₂C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	80	8+	D40:2C2^2	320,1446
D₄₀⋊₃C₂² = D₄₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	80	8+	D40:3C2^2	320,1449
D₄₀⋊₄C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	80	8+	D40:4C2^2	320,1450
D₄₀⋊₅C₂² = D₅×D₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	80	4+	D40:5C2^2	320,537
D₄₀⋊₆C₂² = C₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	80	4+	D40:6C2^2	320,541
D₄₀⋊₇C₂² = C₂×D₈₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160		D40:7C2^2	320,529
D₄₀⋊₈C₂² = D₈₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4+	D40:8C2^2	320,535
D₄₀⋊₉C₂² = C₂×C₈⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80		D40:9C2^2	320,1418
D₄₀⋊₁₀C₂² = C₄₀.₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:10C2^2	320,1420
D₄₀⋊₁₁C₂² = D₄.₁₁D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:11C2^2	320,1423
D₄₀⋊₁₂C₂² = D₄.₁₂D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4+	D40:12C2^2	320,1424
D₄₀⋊₁₃C₂² = C₂×C₅⋊D₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160		D40:13C2^2	320,773
D₄₀⋊₁₄C₂² = D₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:14C2^2	320,774
D₄₀⋊₁₅C₂² = C₂×D₅×D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80		D40:15C2^2	320,1426
D₄₀⋊₁₆C₂² = D₈⋊₁₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:16C2^2	320,1429
D₄₀⋊₁₇C₂² = C₂×Q₈.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160		D40:17C2^2	320,1437
D₄₀⋊₁₈C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:18C2^2	320,1439
D₄₀⋊₁₉C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4+	D40:19C2^2	320,1441
D₄₀⋊₂₀C₂² = C₂×D₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80		D40:20C2^2	320,1431
D₄₀⋊₂₁C₂² = D₂₀.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:21C2^2	320,1434
D₄₀⋊₂₂C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4	D40:22C2^2	320,1440
D₄₀⋊₂₃C₂² = C₂×D₄₀⋊₇C₂	φ: trivial image	160		D40:23C2^2	320,1413

Non-split extensions G=N.Q with N=D₄₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₄₀.₁C₂² = D₁₆⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	80	4	D40.1C2^2	320,538
D₄₀.₂C₂² = D₅×SD₃₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	80	4	D40.2C2^2	320,540
D₄₀.₃C₂² = SD₃₂⋊₃D₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	160	4	D40.3C2^2	320,543
D₄₀.₄C₂² = Q₃₂⋊D₅	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	160	4	D40.4C2^2	320,545
D₄₀.₅C₂² = D₈₀⋊₅C₂	φ: C₂²/C₁ → C₂² ⊆ Out D₄₀	160	4+	D40.5C2^2	320,546
D₄₀.₆C₂² = C₂×C₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160		D40.6C2^2	320,530
D₄₀.₇C₂² = D₈₀⋊₇C₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160	2	D40.7C2^2	320,531
D₄₀.₈C₂² = C₁₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160	4-	D40.8C2^2	320,536
D₄₀.₉C₂² = C₂×C₅⋊SD₃₂	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160		D40.9C2^2	320,805
D₄₀.₁₀C₂² = Q₁₆.D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160	4	D40.10C2^2	320,806
D₄₀.₁₁C₂² = D₈⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	80	4+	D40.11C2^2	320,820
D₄₀.₁₂C₂² = C₄₀.₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160	4	D40.12C2^2	320,821
D₄₀.₁₃C₂² = D₂₀.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄₀	160	4	D40.13C2^2	320,1438
D₄₀.₁₄C₂² = D₄.₁₃D₂₀	φ: trivial image	160	4-	D40.14C2^2	320,1425

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Extensions 1→N→G→Q→1 with N=D40 and Q=C22

Extensions 1→N→G→Q→1 with N=D₄₀ and Q=C₂²