Extensions 1→N→G→Q→1 with N=C₂³×C₁₀ and Q=C₂²

Direct product G=N×Q with N=C₂³×C₁₀ and Q=C₂²

		d	ρ	Label	ID
C₂⁵×C₁₀		320		C2^5xC10	320,1640

Semidirect products G=N:Q with N=C₂³×C₁₀ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₀)⋊₁C₂² = C₅×C₂≀C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	40	4	(C2^3xC10):1C2^2	320,958
(C₂³×C₁₀)⋊₂C₂² = C₁₀×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):2C2^2	320,1523
(C₂³×C₁₀)⋊₃C₂² = C₅×C₂³⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):3C2^2	320,1536
(C₂³×C₁₀)⋊₄C₂² = C₅×D₄²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):4C2^2	320,1547
(C₂³×C₁₀)⋊₅C₂² = C₅×C₂⁴⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):5C2^2	320,1563
(C₂³×C₁₀)⋊₆C₂² = C₁₀×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):6C2^2	320,1632
(C₂³×C₁₀)⋊₇C₂² = C₂⁴⋊₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	40	4	(C2^3xC10):7C2^2	320,659
(C₂³×C₁₀)⋊₈C₂² = D₅×C₂²≀C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	40		(C2^3xC10):8C2^2	320,1260
(C₂³×C₁₀)⋊₉C₂² = C₂⁴⋊₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):9C2^2	320,1261
(C₂³×C₁₀)⋊₁₀C₂² = C₂⁴⋊₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):10C2^2	320,1262
(C₂³×C₁₀)⋊₁₁C₂² = C₂⁴⋊₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):11C2^2	320,1266
(C₂³×C₁₀)⋊₁₂C₂² = C₂×C₂³⋊D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):12C2^2	320,1471
(C₂³×C₁₀)⋊₁₃C₂² = D₄×C₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):13C2^2	320,1473
(C₂³×C₁₀)⋊₁₄C₂² = C₂⁴⋊₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):14C2^2	320,1476
(C₂³×C₁₀)⋊₁₅C₂² = C₂²×D₄×D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):15C2^2	320,1612
(C₂³×C₁₀)⋊₁₆C₂² = C₂×D₄⋊₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):16C2^2	320,1614
(C₂³×C₁₀)⋊₁₇C₂² = D₄×C₂²×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10):17C2^2	320,1629
(C₂³×C₁₀)⋊₁₈C₂² = C₂×C₂⁴⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):18C2^2	320,1512
(C₂³×C₁₀)⋊₁₉C₂² = C₂³×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10):19C2^2	320,1627
(C₂³×C₁₀)⋊₂₀C₂² = D₅×C₂⁵	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10):20C2^2	320,1639

Non-split extensions G=N.Q with N=C₂³×C₁₀ and Q=C₂²

extension	φ:Q→Aut N	d	Label	ID
(C₂³×C₁₀).₁C₂² = C₅×C₂³.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).1C2^2	320,147
(C₂³×C₁₀).₂C₂² = C₅×C₂⁴.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).2C2^2	320,889
(C₂³×C₁₀).₃C₂² = C₅×C₂⁴.₃C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).3C2^2	320,891
(C₂³×C₁₀).₄C₂² = C₅×C₂³⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).4C2^2	320,893
(C₂³×C₁₀).₅C₂² = C₅×C₂³⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).5C2^2	320,894
(C₂³×C₁₀).₆C₂² = C₅×C₂³.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).6C2^2	320,895
(C₂³×C₁₀).₇C₂² = C₅×C₂³.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).7C2^2	320,897
(C₂³×C₁₀).₈C₂² = C₅×C₂³.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).8C2^2	320,898
(C₂³×C₁₀).₉C₂² = C₅×C₂³.₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).9C2^2	320,900
(C₂³×C₁₀).₁₀C₂² = C₁₀×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).10C2^2	320,910
(C₂³×C₁₀).₁₁C₂² = C₅×C₂².₁₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).11C2^2	320,1520
(C₂³×C₁₀).₁₂C₂² = C₁₀×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).12C2^2	320,1524
(C₂³×C₁₀).₁₃C₂² = C₁₀×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).13C2^2	320,1528
(C₂³×C₁₀).₁₄C₂² = C₁₀×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).14C2^2	320,1530
(C₂³×C₁₀).₁₅C₂² = C₁₀×C₄⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).15C2^2	320,1532
(C₂³×C₁₀).₁₆C₂² = C₅×C₂².₂₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).16C2^2	320,1537
(C₂³×C₁₀).₁₇C₂² = C₅×C₂².₃₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).17C2^2	320,1540
(C₂³×C₁₀).₁₈C₂² = C₅×C₂³⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).18C2^2	320,1545
(C₂³×C₁₀).₁₉C₂² = C₅×D₄⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).19C2^2	320,1548
(C₂³×C₁₀).₂₀C₂² = C₅×C₂².₄₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).20C2^2	320,1553
(C₂³×C₁₀).₂₁C₂² = C₅×C₂².₅₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).21C2^2	320,1562
(C₂³×C₁₀).₂₂C₂² = C₂⁴.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).22C2^2	320,84
(C₂³×C₁₀).₂₃C₂² = C₂⁴.₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).23C2^2	320,85
(C₂³×C₁₀).₂₄C₂² = C₂²⋊C₄×Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).24C2^2	320,568
(C₂³×C₁₀).₂₅C₂² = C₂⁴.₄₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).25C2^2	320,569
(C₂³×C₁₀).₂₆C₂² = C₂³.₄₂D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).26C2^2	320,570
(C₂³×C₁₀).₂₇C₂² = C₂⁴.₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).27C2^2	320,571
(C₂³×C₁₀).₂₈C₂² = C₂⁴.₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).28C2^2	320,572
(C₂³×C₁₀).₂₉C₂² = C₂⁴.₄₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).29C2^2	320,573
(C₂³×C₁₀).₃₀C₂² = C₂³⋊Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).30C2^2	320,574
(C₂³×C₁₀).₃₁C₂² = C₂⁴.₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).31C2^2	320,575
(C₂³×C₁₀).₃₂C₂² = C₂⁴.₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).32C2^2	320,576
(C₂³×C₁₀).₃₃C₂² = C₂⁴.₄₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).33C2^2	320,577
(C₂³×C₁₀).₃₄C₂² = C₂⁴.₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).34C2^2	320,578
(C₂³×C₁₀).₃₅C₂² = C₂⁴.₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).35C2^2	320,579
(C₂³×C₁₀).₃₆C₂² = C₂³.₁₄D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).36C2^2	320,580
(C₂³×C₁₀).₃₇C₂² = C₂×C₂³.₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).37C2^2	320,581
(C₂³×C₁₀).₃₈C₂² = C₂⁴.₄₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).38C2^2	320,582
(C₂³×C₁₀).₃₉C₂² = C₂⁴.₁₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).39C2^2	320,583
(C₂³×C₁₀).₄₀C₂² = C₂⁴.₁₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).40C2^2	320,584
(C₂³×C₁₀).₄₁C₂² = C₂³.₄₅D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).41C2^2	320,585
(C₂³×C₁₀).₄₂C₂² = C₂⁴.₁₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).42C2^2	320,586
(C₂³×C₁₀).₄₃C₂² = C₂³⋊₂D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).43C2^2	320,587
(C₂³×C₁₀).₄₄C₂² = C₂⁴.₁₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).44C2^2	320,588
(C₂³×C₁₀).₄₅C₂² = C₂×C₂³⋊Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).45C2^2	320,846
(C₂³×C₁₀).₄₆C₂² = C₂⁴.₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).46C2^2	320,847
(C₂³×C₁₀).₄₇C₂² = C₂⁴.₁₉D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).47C2^2	320,848
(C₂³×C₁₀).₄₈C₂² = C₂⁴.₂₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).48C2^2	320,849
(C₂³×C₁₀).₄₉C₂² = C₂⁴.₂₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).49C2^2	320,850
(C₂³×C₁₀).₅₀C₂² = C₂×C₂³.₁₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).50C2^2	320,1152
(C₂³×C₁₀).₅₁C₂² = C₂×Dic₅.₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).51C2^2	320,1153
(C₂³×C₁₀).₅₂C₂² = C₂×C₂³.D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).52C2^2	320,1154
(C₂³×C₁₀).₅₃C₂² = C₂³⋊₂Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).53C2^2	320,1155
(C₂³×C₁₀).₅₄C₂² = C₂×D₅×C₂²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).54C2^2	320,1156
(C₂³×C₁₀).₅₅C₂² = C₂×Dic₅⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).55C2^2	320,1157
(C₂³×C₁₀).₅₆C₂² = C₂⁴.₂₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).56C2^2	320,1158
(C₂³×C₁₀).₅₇C₂² = C₂×C₂²⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).57C2^2	320,1159
(C₂³×C₁₀).₅₈C₂² = C₂×D₁₀.₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).58C2^2	320,1160
(C₂³×C₁₀).₅₉C₂² = C₂×D₁₀⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).59C2^2	320,1161
(C₂³×C₁₀).₆₀C₂² = C₂⁴.₂₇D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).60C2^2	320,1162
(C₂³×C₁₀).₆₁C₂² = C₂×Dic₅.₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).61C2^2	320,1163
(C₂³×C₁₀).₆₂C₂² = C₂×C₂².D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).62C2^2	320,1164
(C₂³×C₁₀).₆₃C₂² = C₂³⋊₃D₂₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).63C2^2	320,1165
(C₂³×C₁₀).₆₄C₂² = C₂⁴.₃₀D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).64C2^2	320,1166
(C₂³×C₁₀).₆₅C₂² = C₂⁴.₃₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).65C2^2	320,1167
(C₂³×C₁₀).₆₆C₂² = C₂⁴.₅₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).66C2^2	320,1258
(C₂³×C₁₀).₆₇C₂² = C₂⁴.₃₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).67C2^2	320,1259
(C₂³×C₁₀).₆₈C₂² = C₂⁴.₃₃D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).68C2^2	320,1263
(C₂³×C₁₀).₆₉C₂² = C₂⁴.₃₄D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).69C2^2	320,1264
(C₂³×C₁₀).₇₀C₂² = C₂⁴.₃₅D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).70C2^2	320,1265
(C₂³×C₁₀).₇₁C₂² = C₂⁴.₃₆D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).71C2^2	320,1267
(C₂³×C₁₀).₇₂C₂² = C₂×D₄×Dic₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).72C2^2	320,1467
(C₂³×C₁₀).₇₃C₂² = C₂×C₂³.₁₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).73C2^2	320,1468
(C₂³×C₁₀).₇₄C₂² = C₂×C₂₀.₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).74C2^2	320,1469
(C₂³×C₁₀).₇₅C₂² = C₂⁴.₃₈D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).75C2^2	320,1470
(C₂³×C₁₀).₇₆C₂² = C₂×C₂₀⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).76C2^2	320,1472
(C₂³×C₁₀).₇₇C₂² = C₂×Dic₅⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).77C2^2	320,1474
(C₂³×C₁₀).₇₈C₂² = C₂×C₂₀⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).78C2^2	320,1475
(C₂³×C₁₀).₇₉C₂² = C₂⁴.₄₁D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).79C2^2	320,1477
(C₂³×C₁₀).₈₀C₂² = C₂⁴.₄₂D₁₀	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).80C2^2	320,1478
(C₂³×C₁₀).₈₁C₂² = C₂²×D₄⋊₂D₅	φ: C₂²/C₁ → C₂² ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).81C2^2	320,1613
(C₂³×C₁₀).₈₂C₂² = C₂²⋊C₄×C₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).82C2^2	320,878
(C₂³×C₁₀).₈₃C₂² = C₅×C₂⁴⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).83C2^2	320,880
(C₂³×C₁₀).₈₄C₂² = C₅×C₂³.₇Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).84C2^2	320,881
(C₂³×C₁₀).₈₅C₂² = C₅×C₂³.₃₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).85C2^2	320,882
(C₂³×C₁₀).₈₆C₂² = C₅×C₂³.₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).86C2^2	320,886
(C₂³×C₁₀).₈₇C₂² = C₅×C₂³.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).87C2^2	320,887
(C₂³×C₁₀).₈₈C₂² = C₂²⋊C₄×C₂×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).88C2^2	320,1514
(C₂³×C₁₀).₈₉C₂² = C₁₀×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).89C2^2	320,1516
(C₂³×C₁₀).₉₀C₂² = D₄×C₂×C₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).90C2^2	320,1517
(C₂³×C₁₀).₉₁C₂² = C₁₀×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).91C2^2	320,1525
(C₂³×C₁₀).₉₂C₂² = C₁₀×C₂².D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).92C2^2	320,1526
(C₂³×C₁₀).₉₃C₂² = C₅×C₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).93C2^2	320,1527
(C₂³×C₁₀).₉₄C₂² = C₄○D₄×C₂×C₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).94C2^2	320,1631
(C₂³×C₁₀).₉₅C₂² = C₂×C₁₀.₁₀C₄²	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	320	(C2^3xC10).95C2^2	320,835
(C₂³×C₁₀).₉₆C₂² = C₄×C₂³.D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).96C2^2	320,836
(C₂³×C₁₀).₉₇C₂² = C₂⁴.₆₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).97C2^2	320,837
(C₂³×C₁₀).₉₈C₂² = C₂⁴.₆₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).98C2^2	320,838
(C₂³×C₁₀).₉₉C₂² = C₂⁴.₆₄D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).99C2^2	320,839
(C₂³×C₁₀).₁₀₀C₂² = C₂⁴.₆₅D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).100C2^2	320,840
(C₂³×C₁₀).₁₀₁C₂² = C₂⁵.₂D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).101C2^2	320,874
(C₂³×C₁₀).₁₀₂C₂² = C₂²×C₄×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	320	(C2^3xC10).102C2^2	320,1454
(C₂³×C₁₀).₁₀₃C₂² = C₂²×C₁₀.D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	320	(C2^3xC10).103C2^2	320,1455
(C₂³×C₁₀).₁₀₄C₂² = C₂×C₂₀.₄₈D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).104C2^2	320,1456
(C₂³×C₁₀).₁₀₅C₂² = C₂²×C₄⋊Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	320	(C2^3xC10).105C2^2	320,1457
(C₂³×C₁₀).₁₀₆C₂² = C₂×C₂³.₂₁D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).106C2^2	320,1458
(C₂³×C₁₀).₁₀₇C₂² = C₂²×D₁₀⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).107C2^2	320,1459
(C₂³×C₁₀).₁₀₈C₂² = C₂×C₄×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).108C2^2	320,1460
(C₂³×C₁₀).₁₀₉C₂² = C₂×C₂³.₂₃D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).109C2^2	320,1461
(C₂³×C₁₀).₁₁₀C₂² = C₂×C₂₀⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).110C2^2	320,1462
(C₂³×C₁₀).₁₁₁C₂² = C₂⁴.₇₂D₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80	(C2^3xC10).111C2^2	320,1463
(C₂³×C₁₀).₁₁₂C₂² = C₂²×C₂³.D₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).112C2^2	320,1511
(C₂³×C₁₀).₁₁₃C₂² = C₂³×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	320	(C2^3xC10).113C2^2	320,1608
(C₂³×C₁₀).₁₁₄C₂² = D₅×C₂³×C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).114C2^2	320,1609
(C₂³×C₁₀).₁₁₅C₂² = C₂³×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).115C2^2	320,1610
(C₂³×C₁₀).₁₁₆C₂² = C₂²×C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160	(C2^3xC10).116C2^2	320,1611
(C₂³×C₁₀).₁₁₇C₂² = C₂⁴×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Aut C₂³×C₁₀	320	(C2^3xC10).117C2^2	320,1626
(C₂³×C₁₀).₁₁₈C₂² = C₁₀×C₂.C₄²	central extension (φ=1)	320	(C2^3xC10).118C2^2	320,876
(C₂³×C₁₀).₁₁₉C₂² = C₄⋊C₄×C₂×C₁₀	central extension (φ=1)	320	(C2^3xC10).119C2^2	320,1515
(C₂³×C₁₀).₁₂₀C₂² = Q₈×C₂²×C₁₀	central extension (φ=1)	320	(C2^3xC10).120C2^2	320,1630

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Extensions 1→N→G→Q→1 with N=C23×C10 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂³×C₁₀ and Q=C₂²