Extensions 1→N→G→Q→1 with N=C₈⋊D₅ and Q=C₂²

Direct product G=N×Q with N=C₈⋊D₅ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₈⋊D₅		160		C2^2xC8:D5	320,1409

Semidirect products G=N:Q with N=C₈⋊D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₅⋊₁C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₅	40	8+	C8:D5:1C2^2	320,1444
C₈⋊D₅⋊₂C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₅	80	8-	C8:D5:2C2^2	320,1445
C₈⋊D₅⋊₃C₂² = D₈⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₅	80	8+	C8:D5:3C2^2	320,1446
C₈⋊D₅⋊₄C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₅	80	8-	C8:D5:4C2^2	320,1447
C₈⋊D₅⋊₅C₂² = D₅×C₈.C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₅	80	8-	C8:D5:5C2^2	320,1448
C₈⋊D₅⋊₆C₂² = D₄₀⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₅	80	8+	C8:D5:6C2^2	320,1449
C₈⋊D₅⋊₇C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₅	80	8+	C8:D5:7C2^2	320,1450
C₈⋊D₅⋊₈C₂² = C₂×D₄₀⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80		C8:D5:8C2^2	320,1431
C₈⋊D₅⋊₉C₂² = C₂×SD₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	160		C8:D5:9C2^2	320,1432
C₈⋊D₅⋊₁₀C₂² = D₂₀.₂₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80	4	C8:D5:10C2^2	320,1434
C₈⋊D₅⋊₁₁C₂² = D₈⋊₁₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80	4+	C8:D5:11C2^2	320,1441
C₈⋊D₅⋊₁₂C₂² = C₂×D₈⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80		C8:D5:12C2^2	320,1427
C₈⋊D₅⋊₁₃C₂² = D₈⋊₁₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80	4	C8:D5:13C2^2	320,1429
C₈⋊D₅⋊₁₄C₂² = C₂×Q₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	160		C8:D5:14C2^2	320,1436
C₈⋊D₅⋊₁₅C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80	4	C8:D5:15C2^2	320,1440
C₈⋊D₅⋊₁₆C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80	4	C8:D5:16C2^2	320,1442
C₈⋊D₅⋊₁₇C₂² = C₂×D₅×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80		C8:D5:17C2^2	320,1415
C₈⋊D₅⋊₁₈C₂² = C₂×D₂₀.₂C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	160		C8:D5:18C2^2	320,1416
C₈⋊D₅⋊₁₉C₂² = C₄₀.₄₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80	4	C8:D5:19C2^2	320,1417
C₈⋊D₅⋊₂₀C₂² = D₅×C₈○D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	80	4	C8:D5:20C2^2	320,1421
C₈⋊D₅⋊₂₁C₂² = C₂×D₂₀.₃C₄	φ: trivial image	160		C8:D5:21C2^2	320,1410
C₈⋊D₅⋊₂₂C₂² = C₂₀.₇₂C₂⁴	φ: trivial image	80	4	C8:D5:22C2^2	320,1422

Non-split extensions G=N.Q with N=C₈⋊D₅ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊D₅.C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊D₅	160	8-	C8:D5.C2^2	320,1451
C₈⋊D₅.₂C₂² = D₂₀.₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	160	4-	C8:D5.2C2^2	320,1443
C₈⋊D₅.₃C₂² = D₂₀.₃₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊D₅	160	4	C8:D5.3C2^2	320,1438

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Extensions 1→N→G→Q→1 with N=C8⋊D5 and Q=C22

Extensions 1→N→G→Q→1 with N=C₈⋊D₅ and Q=C₂²