Extensions 1→N→G→Q→1 with N=C₅xQ₈ and Q=D₄

Direct product G=NxQ with N=C₅xQ₈ and Q=D₄

		d	ρ	Label	ID
C₅xD₄xQ₈		160		C5xD4xQ8	320,1551

Semidirect products G=N:Q with N=C₅xQ₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xQ₈):₁D₄ = Q₈:₂D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8):1D4	320,433
(C₅xQ₈):₂D₄ = D₂₀:₄D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8):2D4	320,438
(C₅xQ₈):₃D₄ = D₄:₄D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	40	4+	(C5xQ8):3D4	320,449
(C₅xQ₈):₄D₄ = Dic₅:₅SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8):4D4	320,790
(C₅xQ₈):₅D₄ = D₁₀:₈SD₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8):5D4	320,797
(C₅xQ₈):₆D₄ = D₂₀:₇D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8):6D4	320,799
(C₅xQ₈):₇D₄ = D₂₀:₁₈D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	40	8+	(C5xQ8):7D4	320,825
(C₅xQ₈):₈D₄ = Q₈:D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):8D4	320,654
(C₅xQ₈):₉D₄ = Q₈xD₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):9D4	320,1247
(C₅xQ₈):₁₀D₄ = Q₈:₅D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):10D4	320,1248
(C₅xQ₈):₁₁D₄ = Q₈:₆D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):11D4	320,1249
(C₅xQ₈):₁₂D₄ = C₅xC₄:SD₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):12D4	320,961
(C₅xQ₈):₁₃D₄ = (C₅xQ₈):₁₃D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):13D4	320,854
(C₅xQ₈):₁₄D₄ = (C₅xD₄):₁₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):14D4	320,865
(C₅xQ₈):₁₅D₄ = 2₊¹⁺⁴:D₅	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	40	8+	(C5xQ8):15D4	320,868
(C₅xQ₈):₁₆D₄ = Q₈xC₅:D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):16D4	320,1487
(C₅xQ₈):₁₇D₄ = C₁₀.₄₅2_-¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):17D4	320,1489
(C₅xQ₈):₁₈D₄ = C₁₀.₁₀₇2_-¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):18D4	320,1503
(C₅xQ₈):₁₉D₄ = C₁₀.₁₄₈2₊¹⁺⁴	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):19D4	320,1506
(C₅xQ₈):₂₀D₄ = C₅xQ₈:D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):20D4	320,949
(C₅xQ₈):₂₁D₄ = C₅xD₄:D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8):21D4	320,950
(C₅xQ₈):₂₂D₄ = C₅xD₄:₄D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	40	4	(C5xQ8):22D4	320,954
(C₅xQ₈):₂₃D₄ = C₅xQ₈:₅D₄	φ: trivial image	160		(C5xQ8):23D4	320,1550
(C₅xQ₈):₂₄D₄ = C₅xQ₈:₆D₄	φ: trivial image	160		(C5xQ8):24D4	320,1552

Non-split extensions G=N.Q with N=C₅xQ₈ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xQ₈).₁D₄ = D₁₀:₄Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8).1D4	320,435
(C₅xQ₈).₂D₄ = Q₈.D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8).2D4	320,437
(C₅xQ₈).₃D₄ = M₄(2):D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	4	(C5xQ8).3D4	320,452
(C₅xQ₈).₄D₄ = D₄.₉D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	4-	(C5xQ8).4D4	320,453
(C₅xQ₈).₅D₄ = D₄.₁₀D₂₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	4	(C5xQ8).5D4	320,454
(C₅xQ₈).₆D₄ = (C₅xQ₈).D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8).6D4	320,793
(C₅xQ₈).₇D₄ = Dic₅:₃Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	320		(C5xQ8).7D4	320,809
(C₅xQ₈).₈D₄ = (C₂xQ₁₆):D₅	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8).8D4	320,812
(C₅xQ₈).₉D₄ = D₁₀:₅Q₁₆	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8).9D4	320,813
(C₅xQ₈).₁₀D₄ = D₂₀.₁₇D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160		(C5xQ8).10D4	320,814
(C₅xQ₈).₁₁D₄ = M₄(2).D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	8+	(C5xQ8).11D4	320,826
(C₅xQ₈).₁₂D₄ = M₄(2).₁₃D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	8-	(C5xQ8).12D4	320,827
(C₅xQ₈).₁₃D₄ = D₂₀.₃₈D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	8-	(C5xQ8).13D4	320,828
(C₅xQ₈).₁₄D₄ = D₂₀.₃₉D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	8+	(C5xQ8).14D4	320,829
(C₅xQ₈).₁₅D₄ = M₄(2).₁₅D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	8+	(C5xQ8).15D4	320,830
(C₅xQ₈).₁₆D₄ = M₄(2).₁₆D₁₀	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	160	8-	(C5xQ8).16D4	320,831
(C₅xQ₈).₁₇D₄ = D₂₀.₄₀D₄	φ: D₄/C₂ → C₂² ⊆ Out C₅xQ₈	80	8-	(C5xQ8).17D4	320,832
(C₅xQ₈).₁₈D₄ = Q₈.₁D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8).18D4	320,655
(C₅xQ₈).₁₉D₄ = C₂₀:₇Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	320		(C5xQ8).19D4	320,658
(C₅xQ₈).₂₀D₄ = D₄.₃D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8).20D4	320,768
(C₅xQ₈).₂₁D₄ = D₄.₄D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	80	4+	(C5xQ8).21D4	320,769
(C₅xQ₈).₂₂D₄ = D₄.₅D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160	4-	(C5xQ8).22D4	320,770
(C₅xQ₈).₂₃D₄ = D₄.₁₁D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8).23D4	320,1423
(C₅xQ₈).₂₄D₄ = D₄.₁₂D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	80	4+	(C5xQ8).24D4	320,1424
(C₅xQ₈).₂₅D₄ = D₄.₁₃D₂₀	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160	4-	(C5xQ8).25D4	320,1425
(C₅xQ₈).₂₆D₄ = C₅xC₄:₂Q₁₆	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	320		(C5xQ8).26D4	320,963
(C₅xQ₈).₂₇D₄ = C₅xQ₈.D₄	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8).27D4	320,965
(C₅xQ₈).₂₈D₄ = C₅xD₄.₃D₄	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8).28D4	320,972
(C₅xQ₈).₂₉D₄ = C₅xD₄.₄D₄	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8).29D4	320,973
(C₅xQ₈).₃₀D₄ = C₅xD₄.₅D₄	φ: D₄/C₄ → C₂ ⊆ Out C₅xQ₈	160	4	(C5xQ8).30D4	320,974
(C₅xQ₈).₃₁D₄ = (C₂xC₁₀):₈Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8).31D4	320,855
(C₅xQ₈).₃₂D₄ = (C₅xD₄).₃₂D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8).32D4	320,866
(C₅xQ₈).₃₃D₄ = 2₊¹⁺⁴.D₅	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	8-	(C5xQ8).33D4	320,869
(C₅xQ₈).₃₄D₄ = 2_-¹⁺⁴:₂D₅	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	8+	(C5xQ8).34D4	320,872
(C₅xQ₈).₃₅D₄ = 2_-¹⁺⁴.₂D₅	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	8-	(C5xQ8).35D4	320,873
(C₅xQ₈).₃₆D₄ = D₂₀.₃₂C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	8+	(C5xQ8).36D4	320,1507
(C₅xQ₈).₃₇D₄ = D₂₀.₃₃C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	8-	(C5xQ8).37D4	320,1508
(C₅xQ₈).₃₈D₄ = D₂₀.₃₄C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	8+	(C5xQ8).38D4	320,1509
(C₅xQ₈).₃₉D₄ = D₂₀.₃₅C₂³	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160	8-	(C5xQ8).39D4	320,1510
(C₅xQ₈).₄₀D₄ = C₅xC₂²:Q₁₆	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8).40D4	320,952
(C₅xQ₈).₄₁D₄ = C₅xD₄.₇D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	160		(C5xQ8).41D4	320,953
(C₅xQ₈).₄₂D₄ = C₅xD₄.₈D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8).42D4	320,955
(C₅xQ₈).₄₃D₄ = C₅xD₄.₉D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8).43D4	320,956
(C₅xQ₈).₄₄D₄ = C₅xD₄.₁₀D₄	φ: D₄/C₂² → C₂ ⊆ Out C₅xQ₈	80	4	(C5xQ8).44D4	320,957
(C₅xQ₈).₄₅D₄ = C₅xD₄oD₈	φ: trivial image	80	4	(C5xQ8).45D4	320,1578
(C₅xQ₈).₄₆D₄ = C₅xD₄oSD₁₆	φ: trivial image	80	4	(C5xQ8).46D4	320,1579
(C₅xQ₈).₄₇D₄ = C₅xQ₈oD₈	φ: trivial image	160	4	(C5xQ8).47D4	320,1580

Extensions 1→N→G→Q→1 with N=C5xQ8 and Q=D4

Extensions 1→N→G→Q→1 with N=C₅xQ₈ and Q=D₄