Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=D₄

Direct product G=N×Q with N=C₅×Q₈ and Q=D₄

		d	ρ	Label	ID
C₅×D₄×Q₈		160		C5xD4xQ8	320,1551

Semidirect products G=N:Q with N=C₅×Q₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈)⋊₁D₄ = Q₈⋊₂D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8):1D4	320,433
(C₅×Q₈)⋊₂D₄ = D₂₀⋊₄D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8):2D4	320,438
(C₅×Q₈)⋊₃D₄ = D₄⋊₄D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	40	4+	(C5xQ8):3D4	320,449
(C₅×Q₈)⋊₄D₄ = Dic₅⋊₅SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8):4D4	320,790
(C₅×Q₈)⋊₅D₄ = D₁₀⋊₈SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8):5D4	320,797
(C₅×Q₈)⋊₆D₄ = D₂₀⋊₇D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8):6D4	320,799
(C₅×Q₈)⋊₇D₄ = D₂₀⋊₁₈D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	40	8+	(C5xQ8):7D4	320,825
(C₅×Q₈)⋊₈D₄ = Q₈⋊D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):8D4	320,654
(C₅×Q₈)⋊₉D₄ = Q₈×D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):9D4	320,1247
(C₅×Q₈)⋊₁₀D₄ = Q₈⋊₅D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):10D4	320,1248
(C₅×Q₈)⋊₁₁D₄ = Q₈⋊₆D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):11D4	320,1249
(C₅×Q₈)⋊₁₂D₄ = C₅×C₄⋊SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):12D4	320,961
(C₅×Q₈)⋊₁₃D₄ = (C₅×Q₈)⋊₁₃D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):13D4	320,854
(C₅×Q₈)⋊₁₄D₄ = (C₅×D₄)⋊₁₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):14D4	320,865
(C₅×Q₈)⋊₁₅D₄ = 2₊¹⁺⁴⋊D₅	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	40	8+	(C5xQ8):15D4	320,868
(C₅×Q₈)⋊₁₆D₄ = Q₈×C₅⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):16D4	320,1487
(C₅×Q₈)⋊₁₇D₄ = C₁₀.₄₅2_-¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):17D4	320,1489
(C₅×Q₈)⋊₁₈D₄ = C₁₀.₁₀₇2_-¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):18D4	320,1503
(C₅×Q₈)⋊₁₉D₄ = C₁₀.₁₄₈2₊¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):19D4	320,1506
(C₅×Q₈)⋊₂₀D₄ = C₅×Q₈⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):20D4	320,949
(C₅×Q₈)⋊₂₁D₄ = C₅×D₄⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8):21D4	320,950
(C₅×Q₈)⋊₂₂D₄ = C₅×D₄⋊₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	40	4	(C5xQ8):22D4	320,954
(C₅×Q₈)⋊₂₃D₄ = C₅×Q₈⋊₅D₄	φ: trivial image	160		(C5xQ8):23D4	320,1550
(C₅×Q₈)⋊₂₄D₄ = C₅×Q₈⋊₆D₄	φ: trivial image	160		(C5xQ8):24D4	320,1552

Non-split extensions G=N.Q with N=C₅×Q₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Q₈).₁D₄ = D₁₀⋊₄Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).1D4	320,435
(C₅×Q₈).₂D₄ = Q₈.D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).2D4	320,437
(C₅×Q₈).₃D₄ = M₄(2)⋊D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	4	(C5xQ8).3D4	320,452
(C₅×Q₈).₄D₄ = D₄.₉D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	4-	(C5xQ8).4D4	320,453
(C₅×Q₈).₅D₄ = D₄.₁₀D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	4	(C5xQ8).5D4	320,454
(C₅×Q₈).₆D₄ = (C₅×Q₈).D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).6D4	320,793
(C₅×Q₈).₇D₄ = Dic₅⋊₃Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	320		(C5xQ8).7D4	320,809
(C₅×Q₈).₈D₄ = (C₂×Q₁₆)⋊D₅	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).8D4	320,812
(C₅×Q₈).₉D₄ = D₁₀⋊₅Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).9D4	320,813
(C₅×Q₈).₁₀D₄ = D₂₀.₁₇D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160		(C5xQ8).10D4	320,814
(C₅×Q₈).₁₁D₄ = M₄(2).D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	8+	(C5xQ8).11D4	320,826
(C₅×Q₈).₁₂D₄ = M₄(2).₁₃D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	8-	(C5xQ8).12D4	320,827
(C₅×Q₈).₁₃D₄ = D₂₀.₃₈D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	8-	(C5xQ8).13D4	320,828
(C₅×Q₈).₁₄D₄ = D₂₀.₃₉D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	8+	(C5xQ8).14D4	320,829
(C₅×Q₈).₁₅D₄ = M₄(2).₁₅D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	8+	(C5xQ8).15D4	320,830
(C₅×Q₈).₁₆D₄ = M₄(2).₁₆D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	160	8-	(C5xQ8).16D4	320,831
(C₅×Q₈).₁₇D₄ = D₂₀.₄₀D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅×Q₈	80	8-	(C5xQ8).17D4	320,832
(C₅×Q₈).₁₈D₄ = Q₈.₁D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).18D4	320,655
(C₅×Q₈).₁₉D₄ = C₂₀⋊₇Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8).19D4	320,658
(C₅×Q₈).₂₀D₄ = D₄.₃D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).20D4	320,768
(C₅×Q₈).₂₁D₄ = D₄.₄D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	80	4+	(C5xQ8).21D4	320,769
(C₅×Q₈).₂₂D₄ = D₄.₅D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160	4-	(C5xQ8).22D4	320,770
(C₅×Q₈).₂₃D₄ = D₄.₁₁D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).23D4	320,1423
(C₅×Q₈).₂₄D₄ = D₄.₁₂D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	80	4+	(C5xQ8).24D4	320,1424
(C₅×Q₈).₂₅D₄ = D₄.₁₃D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160	4-	(C5xQ8).25D4	320,1425
(C₅×Q₈).₂₆D₄ = C₅×C₄⋊₂Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	320		(C5xQ8).26D4	320,963
(C₅×Q₈).₂₇D₄ = C₅×Q₈.D₄	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).27D4	320,965
(C₅×Q₈).₂₈D₄ = C₅×D₄.₃D₄	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).28D4	320,972
(C₅×Q₈).₂₉D₄ = C₅×D₄.₄D₄	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).29D4	320,973
(C₅×Q₈).₃₀D₄ = C₅×D₄.₅D₄	φ: D₄/C₄ → C₂ ⊆ Out C₅×Q₈	160	4	(C5xQ8).30D4	320,974
(C₅×Q₈).₃₁D₄ = (C₂×C₁₀)⋊₈Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).31D4	320,855
(C₅×Q₈).₃₂D₄ = (C₅×D₄).₃₂D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).32D4	320,866
(C₅×Q₈).₃₃D₄ = 2₊¹⁺⁴.D₅	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	8-	(C5xQ8).33D4	320,869
(C₅×Q₈).₃₄D₄ = 2_-¹⁺⁴⋊₂D₅	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	8+	(C5xQ8).34D4	320,872
(C₅×Q₈).₃₅D₄ = 2_-¹⁺⁴.₂D₅	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	8-	(C5xQ8).35D4	320,873
(C₅×Q₈).₃₆D₄ = D₂₀.₃₂C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	8+	(C5xQ8).36D4	320,1507
(C₅×Q₈).₃₇D₄ = D₂₀.₃₃C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	8-	(C5xQ8).37D4	320,1508
(C₅×Q₈).₃₈D₄ = D₂₀.₃₄C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	8+	(C5xQ8).38D4	320,1509
(C₅×Q₈).₃₉D₄ = D₂₀.₃₅C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160	8-	(C5xQ8).39D4	320,1510
(C₅×Q₈).₄₀D₄ = C₅×C₂²⋊Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).40D4	320,952
(C₅×Q₈).₄₁D₄ = C₅×D₄.₇D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	160		(C5xQ8).41D4	320,953
(C₅×Q₈).₄₂D₄ = C₅×D₄.₈D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).42D4	320,955
(C₅×Q₈).₄₃D₄ = C₅×D₄.₉D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).43D4	320,956
(C₅×Q₈).₄₄D₄ = C₅×D₄.₁₀D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅×Q₈	80	4	(C5xQ8).44D4	320,957
(C₅×Q₈).₄₅D₄ = C₅×D₄○D₈	φ: trivial image	80	4	(C5xQ8).45D4	320,1578
(C₅×Q₈).₄₆D₄ = C₅×D₄○SD₁₆	φ: trivial image	80	4	(C5xQ8).46D4	320,1579
(C₅×Q₈).₄₇D₄ = C₅×Q₈○D₈	φ: trivial image	160	4	(C5xQ8).47D4	320,1580

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Extensions 1→N→G→Q→1 with N=C5×Q8 and Q=D4

Extensions 1→N→G→Q→1 with N=C₅×Q₈ and Q=D₄