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		C2^2xQ8xD5	320,1615

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	(Q8xD5):1C2^2	320,1434
(Q₈×D₅)⋊₂C₂² = D₈⋊₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	80	4	(Q8xD5):2C2^2	320,1442
(Q₈×D₅)⋊₃C₂² = D₈⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	80	8-	(Q8xD5):3C2^2	320,1447
(Q₈×D₅)⋊₄C₂² = C₄₀.C₂³	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	80	8+	(Q8xD5):4C2^2	320,1450
(Q₈×D₅)⋊₅C₂² = C₂×D₅×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80		(Q8xD5):5C2^2	320,1430
(Q₈×D₅)⋊₆C₂² = C₂×SD₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	160		(Q8xD5):6C2^2	320,1432
(Q₈×D₅)⋊₇C₂² = C₂×Q₁₆⋊D₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	160		(Q8xD5):7C2^2	320,1436
(Q₈×D₅)⋊₈C₂² = Q₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	4	(Q8xD5):8C2^2	320,1440
(Q₈×D₅)⋊₉C₂² = D₅×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	40	8+	(Q8xD5):9C2^2	320,1444
(Q₈×D₅)⋊₁₀C₂² = SD₁₆⋊D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8-	(Q8xD5):10C2^2	320,1445
(Q₈×D₅)⋊₁₁C₂² = D₅×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8-	(Q8xD5):11C2^2	320,1448
(Q₈×D₅)⋊₁₂C₂² = D₄₀⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8+	(Q8xD5):12C2^2	320,1449
(Q₈×D₅)⋊₁₃C₂² = C₂×Q₈.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	160		(Q8xD5):13C2^2	320,1617
(Q₈×D₅)⋊₁₄C₂² = C₂×D₄.₁₀D₁₀	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	160		(Q8xD5):14C2^2	320,1620
(Q₈×D₅)⋊₁₅C₂² = C₁₀.C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	4	(Q8xD5):15C2^2	320,1621
(Q₈×D₅)⋊₁₆C₂² = D₂₀.₃₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8-	(Q8xD5):16C2^2	320,1623
(Q₈×D₅)⋊₁₇C₂² = D₅×2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8-	(Q8xD5):17C2^2	320,1624
(Q₈×D₅)⋊₁₈C₂² = D₂₀.₃₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8+	(Q8xD5):18C2^2	320,1625
(Q₈×D₅)⋊₁₉C₂² = C₂×D₅×C₄○D₄	φ: trivial image	80		(Q8xD5):19C2^2	320,1618
(Q₈×D₅)⋊₂₀C₂² = D₅×2₊¹⁺⁴	φ: trivial image	40	8+	(Q8xD5):20C2^2	320,1622

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

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×D₅).₁C₂² = D₂₀.₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	160	4	(Q8xD5).1C2^2	320,1438
(Q₈×D₅).₂C₂² = D₂₀.₄₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	160	4-	(Q8xD5).2C2^2	320,1443
(Q₈×D₅).₃C₂² = D₂₀.₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	160	8-	(Q8xD5).3C2^2	320,1451
(Q₈×D₅).₄C₂² = SD₁₆×F₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	40	8	(Q8xD5).4C2^2	320,1072
(Q₈×D₅).₅C₂² = SD₁₆⋊F₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	40	8	(Q8xD5).5C2^2	320,1073
(Q₈×D₅).₆C₂² = Q₁₆×F₅	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	80	8-	(Q8xD5).6C2^2	320,1076
(Q₈×D₅).₇C₂² = Dic₂₀⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out Q₈×D₅	80	8-	(Q8xD5).7C2^2	320,1077
(Q₈×D₅).₈C₂² = C₂×D₅×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	160		(Q8xD5).8C2^2	320,1435
(Q₈×D₅).₉C₂² = D₅×C₄○D₈	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	4	(Q8xD5).9C2^2	320,1439
(Q₈×D₅).₁₀C₂² = C₂×Q₈⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80		(Q8xD5).10C2^2	320,1119
(Q₈×D₅).₁₁C₂² = (C₂×Q₈)⋊₄F₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8-	(Q8xD5).11C2^2	320,1120
(Q₈×D₅).₁₂C₂² = C₄○D₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	40	8	(Q8xD5).12C2^2	320,1131
(Q₈×D₅).₁₃C₂² = C₄○D₂₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8	(Q8xD5).13C2^2	320,1132
(Q₈×D₅).₁₄C₂² = C₂×Q₈×F₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80		(Q8xD5).14C2^2	320,1599
(Q₈×D₅).₁₅C₂² = D₅.2_-¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	80	8-	(Q8xD5).15C2^2	320,1600
(Q₈×D₅).₁₆C₂² = C₄○D₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	40	8	(Q8xD5).16C2^2	320,1603
(Q₈×D₅).₁₇C₂² = D₅.2₊¹⁺⁴	φ: C₂²/C₂ → C₂ ⊆ Out Q₈×D₅	40	8	(Q8xD5).17C2^2	320,1604

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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