Extensions 1→N→G→Q→1 with N=C₅xC₄.₄D₄ and Q=C₂

Direct product G=NxQ with N=C₅xC₄.₄D₄ and Q=C₂

		d	ρ	Label	ID
C₁₀xC₄.₄D₄		160		C10xC4.4D4	320,1528

Semidirect products G=N:Q with N=C₅xC₄.₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₄.₄D₄):₁C₂ = D₂₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):1C2	320,684
(C₅xC₄.₄D₄):₂C₂ = C₄².₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):2C2	320,685
(C₅xC₄.₄D₄):₃C₂ = C₄².₂₁₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):3C2	320,686
(C₅xC₄.₄D₄):₄C₂ = C₄²:₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80	4	(C5xC4.4D4):4C2	320,688
(C₅xC₄.₄D₄):₅C₂ = D₂₀.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80	4	(C5xC4.4D4):5C2	320,689
(C₅xC₄.₄D₄):₆C₂ = C₄².₂₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):6C2	320,1340
(C₅xC₄.₄D₄):₇C₂ = C₄².₁₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):7C2	320,1341
(C₅xC₄.₄D₄):₈C₂ = C₄².₁₃₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):8C2	320,1342
(C₅xC₄.₄D₄):₉C₂ = D₅xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):9C2	320,1345
(C₅xC₄.₄D₄):₁₀C₂ = C₄²:₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):10C2	320,1346
(C₅xC₄.₄D₄):₁₁C₂ = C₄².₁₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):11C2	320,1347
(C₅xC₄.₄D₄):₁₂C₂ = D₂₀:₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):12C2	320,1348
(C₅xC₄.₄D₄):₁₃C₂ = Dic₁₀:₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):13C2	320,1349
(C₅xC₄.₄D₄):₁₄C₂ = C₄²:₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):14C2	320,1350
(C₅xC₄.₄D₄):₁₅C₂ = C₄²:₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):15C2	320,1351
(C₅xC₄.₄D₄):₁₆C₂ = C₄².₂₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):16C2	320,1352
(C₅xC₄.₄D₄):₁₇C₂ = C₄².₁₄₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):17C2	320,1353
(C₅xC₄.₄D₄):₁₈C₂ = C₄².₁₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):18C2	320,1354
(C₅xC₄.₄D₄):₁₉C₂ = C₄²:₂₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):19C2	320,1355
(C₅xC₄.₄D₄):₂₀C₂ = C₄².₁₄₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):20C2	320,1356
(C₅xC₄.₄D₄):₂₁C₂ = C₅xD₄.₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80	4	(C5xC4.4D4):21C2	320,955
(C₅xC₄.₄D₄):₂₂C₂ = C₅xD₄.₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80	4	(C5xC4.4D4):22C2	320,956
(C₅xC₄.₄D₄):₂₃C₂ = C₅xD₄.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):23C2	320,964
(C₅xC₄.₄D₄):₂₄C₂ = C₅xC₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):24C2	320,996
(C₅xC₄.₄D₄):₂₅C₂ = C₅xC₈:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):25C2	320,997
(C₅xC₄.₄D₄):₂₆C₂ = C₅xC₂².₂₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):26C2	320,1537
(C₅xC₄.₄D₄):₂₇C₂ = C₅xC₂³.₃₈C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):27C2	320,1538
(C₅xC₄.₄D₄):₂₈C₂ = C₅xC₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):28C2	320,1540
(C₅xC₄.₄D₄):₂₉C₂ = C₅xC₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):29C2	320,1544
(C₅xC₄.₄D₄):₃₀C₂ = C₅xD₄:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):30C2	320,1548
(C₅xC₄.₄D₄):₃₁C₂ = C₅xQ₈:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):31C2	320,1550
(C₅xC₄.₄D₄):₃₂C₂ = C₅xC₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):32C2	320,1553
(C₅xC₄.₄D₄):₃₃C₂ = C₅xC₂².₄₉C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):33C2	320,1557
(C₅xC₄.₄D₄):₃₄C₂ = C₅xC₂².₅₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):34C2	320,1561
(C₅xC₄.₄D₄):₃₅C₂ = C₅xC₂⁴:C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80		(C5xC4.4D4):35C2	320,1563
(C₅xC₄.₄D₄):₃₆C₂ = C₅xC₂².₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4):36C2	320,1564
(C₅xC₄.₄D₄):₃₇C₂ = C₅xC₂³.₃₆C₂³	φ: trivial image	160		(C5xC4.4D4):37C2	320,1531
(C₅xC₄.₄D₄):₃₈C₂ = C₅xC₂².₂₆C₂⁴	φ: trivial image	160		(C5xC4.4D4):38C2	320,1534

Non-split extensions G=N.Q with N=C₅xC₄.₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅xC₄.₄D₄).₁C₂ = C₄².Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80	4	(C5xC4.4D4).1C2	320,100
(C₅xC₄.₄D₄).₂C₂ = C₄².₆₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).2C2	320,681
(C₅xC₄.₄D₄).₃C₂ = C₄².₆₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).3C2	320,682
(C₅xC₄.₄D₄).₄C₂ = C₄².₂₁₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).4C2	320,683
(C₅xC₄.₄D₄).₅C₂ = C₄².₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).5C2	320,687
(C₅xC₄.₄D₄).₆C₂ = C₄².₁₃₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).6C2	320,1343
(C₅xC₄.₄D₄).₇C₂ = C₄².₁₄₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).7C2	320,1344
(C₅xC₄.₄D₄).₈C₂ = C₄².₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).8C2	320,98
(C₅xC₄.₄D₄).₉C₂ = C₄²:Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80	4	(C5xC4.4D4).9C2	320,99
(C₅xC₄.₄D₄).₁₀C₂ = C₅xC₄².C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).10C2	320,134
(C₅xC₄.₄D₄).₁₁C₂ = C₅xC₄²:₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80	4	(C5xC4.4D4).11C2	320,159
(C₅xC₄.₄D₄).₁₂C₂ = C₅xC₄².C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	80	4	(C5xC4.4D4).12C2	320,160
(C₅xC₄.₄D₄).₁₃C₂ = C₅xQ₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).13C2	320,965
(C₅xC₄.₄D₄).₁₄C₂ = C₅xC₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).14C2	320,989
(C₅xC₄.₄D₄).₁₅C₂ = C₅xC₄².₂₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).15C2	320,990
(C₅xC₄.₄D₄).₁₆C₂ = C₅xC₈.₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).16C2	320,998
(C₅xC₄.₄D₄).₁₇C₂ = C₅xC₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).17C2	320,1558
(C₅xC₄.₄D₄).₁₈C₂ = C₅xC₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₅xC₄.₄D₄	160		(C5xC4.4D4).18C2	320,1565

Extensions 1→N→G→Q→1 with N=C5xC4.4D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₅xC₄.₄D₄ and Q=C₂