Extensions 1→N→G→Q→1 with N=C₂³xC₁₀ and Q=C₂²

Direct product G=NxQ with N=C₂³xC₁₀ and Q=C₂²

		d	ρ	Label	ID
C₂⁵xC₁₀		320		C2^5xC10	320,1640

Semidirect products G=N:Q with N=C₂³xC₁₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₁₀):₁C₂² = C₅xC₂wrC₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	40	4	(C2^3xC10):1C2^2	320,958
(C₂³xC₁₀):₂C₂² = C₁₀xC₂²wrC₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):2C2^2	320,1523
(C₂³xC₁₀):₃C₂² = C₅xC₂³:₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):3C2^2	320,1536
(C₂³xC₁₀):₄C₂² = C₅xD₄²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):4C2^2	320,1547
(C₂³xC₁₀):₅C₂² = C₅xC₂⁴:C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):5C2^2	320,1563
(C₂³xC₁₀):₆C₂² = C₁₀x2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):6C2^2	320,1632
(C₂³xC₁₀):₇C₂² = C₂⁴:₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	40	4	(C2^3xC10):7C2^2	320,659
(C₂³xC₁₀):₈C₂² = D₅xC₂²wrC₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	40		(C2^3xC10):8C2^2	320,1260
(C₂³xC₁₀):₉C₂² = C₂⁴:₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):9C2^2	320,1261
(C₂³xC₁₀):₁₀C₂² = C₂⁴:₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):10C2^2	320,1262
(C₂³xC₁₀):₁₁C₂² = C₂⁴:₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):11C2^2	320,1266
(C₂³xC₁₀):₁₂C₂² = C₂xC₂³:D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):12C2^2	320,1471
(C₂³xC₁₀):₁₃C₂² = D₄xC₅:D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):13C2^2	320,1473
(C₂³xC₁₀):₁₄C₂² = C₂⁴:₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):14C2^2	320,1476
(C₂³xC₁₀):₁₅C₂² = C₂²xD₄xD₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):15C2^2	320,1612
(C₂³xC₁₀):₁₆C₂² = C₂xD₄:₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):16C2^2	320,1614
(C₂³xC₁₀):₁₇C₂² = D₄xC₂²xC₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10):17C2^2	320,1629
(C₂³xC₁₀):₁₈C₂² = C₂xC₂⁴:₂D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80		(C2^3xC10):18C2^2	320,1512
(C₂³xC₁₀):₁₉C₂² = C₂³xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10):19C2^2	320,1627
(C₂³xC₁₀):₂₀C₂² = D₅xC₂⁵	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160		(C2^3xC10):20C2^2	320,1639

Non-split extensions G=N.Q with N=C₂³xC₁₀ and Q=C₂²

extension	φ:Q→Aut N	d	Label	ID
(C₂³xC₁₀).₁C₂² = C₅xC₂³.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).1C2^2	320,147
(C₂³xC₁₀).₂C₂² = C₅xC₂⁴.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).2C2^2	320,889
(C₂³xC₁₀).₃C₂² = C₅xC₂⁴.₃C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).3C2^2	320,891
(C₂³xC₁₀).₄C₂² = C₅xC₂³:₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).4C2^2	320,893
(C₂³xC₁₀).₅C₂² = C₅xC₂³:Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).5C2^2	320,894
(C₂³xC₁₀).₆C₂² = C₅xC₂³.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).6C2^2	320,895
(C₂³xC₁₀).₇C₂² = C₅xC₂³.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).7C2^2	320,897
(C₂³xC₁₀).₈C₂² = C₅xC₂³.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).8C2^2	320,898
(C₂³xC₁₀).₉C₂² = C₅xC₂³.₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).9C2^2	320,900
(C₂³xC₁₀).₁₀C₂² = C₁₀xC₂³:C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).10C2^2	320,910
(C₂³xC₁₀).₁₁C₂² = C₅xC₂².₁₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).11C2^2	320,1520
(C₂³xC₁₀).₁₂C₂² = C₁₀xC₄:D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).12C2^2	320,1524
(C₂³xC₁₀).₁₃C₂² = C₁₀xC₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).13C2^2	320,1528
(C₂³xC₁₀).₁₄C₂² = C₁₀xC₄²:₂C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).14C2^2	320,1530
(C₂³xC₁₀).₁₅C₂² = C₁₀xC₄:₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).15C2^2	320,1532
(C₂³xC₁₀).₁₆C₂² = C₅xC₂².₂₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).16C2^2	320,1537
(C₂³xC₁₀).₁₇C₂² = C₅xC₂².₃₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).17C2^2	320,1540
(C₂³xC₁₀).₁₈C₂² = C₅xC₂³:₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).18C2^2	320,1545
(C₂³xC₁₀).₁₉C₂² = C₅xD₄:₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).19C2^2	320,1548
(C₂³xC₁₀).₂₀C₂² = C₅xC₂².₄₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).20C2^2	320,1553
(C₂³xC₁₀).₂₁C₂² = C₅xC₂².₅₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).21C2^2	320,1562
(C₂³xC₁₀).₂₂C₂² = C₂⁴.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).22C2^2	320,84
(C₂³xC₁₀).₂₃C₂² = C₂⁴.₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).23C2^2	320,85
(C₂³xC₁₀).₂₄C₂² = C₂²:C₄xDic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).24C2^2	320,568
(C₂³xC₁₀).₂₅C₂² = C₂⁴.₄₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).25C2^2	320,569
(C₂³xC₁₀).₂₆C₂² = C₂³.₄₂D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).26C2^2	320,570
(C₂³xC₁₀).₂₇C₂² = C₂⁴.₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).27C2^2	320,571
(C₂³xC₁₀).₂₈C₂² = C₂⁴.₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).28C2^2	320,572
(C₂³xC₁₀).₂₉C₂² = C₂⁴.₄₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).29C2^2	320,573
(C₂³xC₁₀).₃₀C₂² = C₂³:Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).30C2^2	320,574
(C₂³xC₁₀).₃₁C₂² = C₂⁴.₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).31C2^2	320,575
(C₂³xC₁₀).₃₂C₂² = C₂⁴.₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).32C2^2	320,576
(C₂³xC₁₀).₃₃C₂² = C₂⁴.₄₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).33C2^2	320,577
(C₂³xC₁₀).₃₄C₂² = C₂⁴.₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).34C2^2	320,578
(C₂³xC₁₀).₃₅C₂² = C₂⁴.₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).35C2^2	320,579
(C₂³xC₁₀).₃₆C₂² = C₂³.₁₄D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).36C2^2	320,580
(C₂³xC₁₀).₃₇C₂² = C₂xC₂³.₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).37C2^2	320,581
(C₂³xC₁₀).₃₈C₂² = C₂⁴.₄₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).38C2^2	320,582
(C₂³xC₁₀).₃₉C₂² = C₂⁴.₁₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).39C2^2	320,583
(C₂³xC₁₀).₄₀C₂² = C₂⁴.₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).40C2^2	320,584
(C₂³xC₁₀).₄₁C₂² = C₂³.₄₅D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).41C2^2	320,585
(C₂³xC₁₀).₄₂C₂² = C₂⁴.₁₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).42C2^2	320,586
(C₂³xC₁₀).₄₃C₂² = C₂³:₂D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).43C2^2	320,587
(C₂³xC₁₀).₄₄C₂² = C₂⁴.₁₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).44C2^2	320,588
(C₂³xC₁₀).₄₅C₂² = C₂xC₂³:Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).45C2^2	320,846
(C₂³xC₁₀).₄₆C₂² = C₂⁴.₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).46C2^2	320,847
(C₂³xC₁₀).₄₇C₂² = C₂⁴.₁₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).47C2^2	320,848
(C₂³xC₁₀).₄₈C₂² = C₂⁴.₂₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).48C2^2	320,849
(C₂³xC₁₀).₄₉C₂² = C₂⁴.₂₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).49C2^2	320,850
(C₂³xC₁₀).₅₀C₂² = C₂xC₂³.₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).50C2^2	320,1152
(C₂³xC₁₀).₅₁C₂² = C₂xDic₅.₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).51C2^2	320,1153
(C₂³xC₁₀).₅₂C₂² = C₂xC₂³.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).52C2^2	320,1154
(C₂³xC₁₀).₅₃C₂² = C₂³:₂Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).53C2^2	320,1155
(C₂³xC₁₀).₅₄C₂² = C₂xD₅xC₂²:C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).54C2^2	320,1156
(C₂³xC₁₀).₅₅C₂² = C₂xDic₅:₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).55C2^2	320,1157
(C₂³xC₁₀).₅₆C₂² = C₂⁴.₂₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).56C2^2	320,1158
(C₂³xC₁₀).₅₇C₂² = C₂xC₂²:D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).57C2^2	320,1159
(C₂³xC₁₀).₅₈C₂² = C₂xD₁₀.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).58C2^2	320,1160
(C₂³xC₁₀).₅₉C₂² = C₂xD₁₀:D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).59C2^2	320,1161
(C₂³xC₁₀).₆₀C₂² = C₂⁴.₂₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).60C2^2	320,1162
(C₂³xC₁₀).₆₁C₂² = C₂xDic₅.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).61C2^2	320,1163
(C₂³xC₁₀).₆₂C₂² = C₂xC₂².D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).62C2^2	320,1164
(C₂³xC₁₀).₆₃C₂² = C₂³:₃D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).63C2^2	320,1165
(C₂³xC₁₀).₆₄C₂² = C₂⁴.₃₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).64C2^2	320,1166
(C₂³xC₁₀).₆₅C₂² = C₂⁴.₃₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).65C2^2	320,1167
(C₂³xC₁₀).₆₆C₂² = C₂⁴.₅₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).66C2^2	320,1258
(C₂³xC₁₀).₆₇C₂² = C₂⁴.₃₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).67C2^2	320,1259
(C₂³xC₁₀).₆₈C₂² = C₂⁴.₃₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).68C2^2	320,1263
(C₂³xC₁₀).₆₉C₂² = C₂⁴.₃₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).69C2^2	320,1264
(C₂³xC₁₀).₇₀C₂² = C₂⁴.₃₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).70C2^2	320,1265
(C₂³xC₁₀).₇₁C₂² = C₂⁴.₃₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).71C2^2	320,1267
(C₂³xC₁₀).₇₂C₂² = C₂xD₄xDic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).72C2^2	320,1467
(C₂³xC₁₀).₇₃C₂² = C₂xC₂³.₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).73C2^2	320,1468
(C₂³xC₁₀).₇₄C₂² = C₂xC₂₀.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).74C2^2	320,1469
(C₂³xC₁₀).₇₅C₂² = C₂⁴.₃₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).75C2^2	320,1470
(C₂³xC₁₀).₇₆C₂² = C₂xC₂₀:₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).76C2^2	320,1472
(C₂³xC₁₀).₇₇C₂² = C₂xDic₅:D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).77C2^2	320,1474
(C₂³xC₁₀).₇₈C₂² = C₂xC₂₀:D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).78C2^2	320,1475
(C₂³xC₁₀).₇₉C₂² = C₂⁴.₄₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).79C2^2	320,1477
(C₂³xC₁₀).₈₀C₂² = C₂⁴.₄₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).80C2^2	320,1478
(C₂³xC₁₀).₈₁C₂² = C₂²xD₄:₂D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).81C2^2	320,1613
(C₂³xC₁₀).₈₂C₂² = C₂²:C₄xC₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).82C2^2	320,878
(C₂³xC₁₀).₈₃C₂² = C₅xC₂⁴:₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).83C2^2	320,880
(C₂³xC₁₀).₈₄C₂² = C₅xC₂³.₇Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).84C2^2	320,881
(C₂³xC₁₀).₈₅C₂² = C₅xC₂³.₃₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).85C2^2	320,882
(C₂³xC₁₀).₈₆C₂² = C₅xC₂³.₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).86C2^2	320,886
(C₂³xC₁₀).₈₇C₂² = C₅xC₂³.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).87C2^2	320,887
(C₂³xC₁₀).₈₈C₂² = C₂²:C₄xC₂xC₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).88C2^2	320,1514
(C₂³xC₁₀).₈₉C₂² = C₁₀xC₄²:C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).89C2^2	320,1516
(C₂³xC₁₀).₉₀C₂² = D₄xC₂xC₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).90C2^2	320,1517
(C₂³xC₁₀).₉₁C₂² = C₁₀xC₂²:Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).91C2^2	320,1525
(C₂³xC₁₀).₉₂C₂² = C₁₀xC₂².D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).92C2^2	320,1526
(C₂³xC₁₀).₉₃C₂² = C₅xC₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).93C2^2	320,1527
(C₂³xC₁₀).₉₄C₂² = C₄oD₄xC₂xC₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).94C2^2	320,1631
(C₂³xC₁₀).₉₅C₂² = C₂xC₁₀.₁₀C₄²	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	320	(C2^3xC10).95C2^2	320,835
(C₂³xC₁₀).₉₆C₂² = C₄xC₂³.D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).96C2^2	320,836
(C₂³xC₁₀).₉₇C₂² = C₂⁴.₆₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).97C2^2	320,837
(C₂³xC₁₀).₉₈C₂² = C₂⁴.₆₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).98C2^2	320,838
(C₂³xC₁₀).₉₉C₂² = C₂⁴.₆₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).99C2^2	320,839
(C₂³xC₁₀).₁₀₀C₂² = C₂⁴.₆₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).100C2^2	320,840
(C₂³xC₁₀).₁₀₁C₂² = C₂⁵.₂D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).101C2^2	320,874
(C₂³xC₁₀).₁₀₂C₂² = C₂²xC₄xDic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	320	(C2^3xC10).102C2^2	320,1454
(C₂³xC₁₀).₁₀₃C₂² = C₂²xC₁₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	320	(C2^3xC10).103C2^2	320,1455
(C₂³xC₁₀).₁₀₄C₂² = C₂xC₂₀.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).104C2^2	320,1456
(C₂³xC₁₀).₁₀₅C₂² = C₂²xC₄:Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	320	(C2^3xC10).105C2^2	320,1457
(C₂³xC₁₀).₁₀₆C₂² = C₂xC₂³.₂₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).106C2^2	320,1458
(C₂³xC₁₀).₁₀₇C₂² = C₂²xD₁₀:C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).107C2^2	320,1459
(C₂³xC₁₀).₁₀₈C₂² = C₂xC₄xC₅:D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).108C2^2	320,1460
(C₂³xC₁₀).₁₀₉C₂² = C₂xC₂³.₂₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).109C2^2	320,1461
(C₂³xC₁₀).₁₁₀C₂² = C₂xC₂₀:₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).110C2^2	320,1462
(C₂³xC₁₀).₁₁₁C₂² = C₂⁴.₇₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	80	(C2^3xC10).111C2^2	320,1463
(C₂³xC₁₀).₁₁₂C₂² = C₂²xC₂³.D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).112C2^2	320,1511
(C₂³xC₁₀).₁₁₃C₂² = C₂³xDic₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	320	(C2^3xC10).113C2^2	320,1608
(C₂³xC₁₀).₁₁₄C₂² = D₅xC₂³xC₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).114C2^2	320,1609
(C₂³xC₁₀).₁₁₅C₂² = C₂³xD₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).115C2^2	320,1610
(C₂³xC₁₀).₁₁₆C₂² = C₂²xC₄oD₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	160	(C2^3xC10).116C2^2	320,1611
(C₂³xC₁₀).₁₁₇C₂² = C₂⁴xDic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³xC₁₀	320	(C2^3xC10).117C2^2	320,1626
(C₂³xC₁₀).₁₁₈C₂² = C₁₀xC₂.C₄²	central extension (φ=1)	320	(C2^3xC10).118C2^2	320,876
(C₂³xC₁₀).₁₁₉C₂² = C₄:C₄xC₂xC₁₀	central extension (φ=1)	320	(C2^3xC10).119C2^2	320,1515
(C₂³xC₁₀).₁₂₀C₂² = Q₈xC₂²xC₁₀	central extension (φ=1)	320	(C2^3xC10).120C2^2	320,1630

Extensions 1→N→G→Q→1 with N=C23xC10 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂³xC₁₀ and Q=C₂²