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Extensions 1→N→G→Q→1 with N=C23xC20 and Q=C2

Direct product G=NxQ with N=C23xC20 and Q=C2
dρLabelID
C24xC20320C2^4xC20320,1628

Semidirect products G=N:Q with N=C23xC20 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23xC20):1C2 = C24.65D10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):1C2320,840
(C23xC20):2C2 = C5xC23.23D4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):2C2320,887
(C23xC20):3C2 = C22xD10:C4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):3C2320,1459
(C23xC20):4C2 = C2xC23.23D10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):4C2320,1461
(C23xC20):5C2 = C22:C4xC2xC10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):5C2320,1514
(C23xC20):6C2 = D4xC2xC20φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):6C2320,1517
(C23xC20):7C2 = C10xC22.D4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):7C2320,1526
(C23xC20):8C2 = C2xC20:7D4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):8C2320,1462
(C23xC20):9C2 = C23xD20φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):9C2320,1610
(C23xC20):10C2 = C24.72D10φ: C2/C1 → C2 ⊆ Aut C23xC2080(C2^3xC20):10C2320,1463
(C23xC20):11C2 = C22xC4oD20φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):11C2320,1611
(C23xC20):12C2 = C2xC4xC5:D4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):12C2320,1460
(C23xC20):13C2 = D5xC23xC4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):13C2320,1609
(C23xC20):14C2 = C10xC4:D4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):14C2320,1524
(C23xC20):15C2 = C5xC22.19C24φ: C2/C1 → C2 ⊆ Aut C23xC2080(C2^3xC20):15C2320,1527
(C23xC20):16C2 = D4xC22xC10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):16C2320,1629
(C23xC20):17C2 = C4oD4xC2xC10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20):17C2320,1631

Non-split extensions G=N.Q with N=C23xC20 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23xC20).1C2 = C2xC10.10C42φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).1C2320,835
(C23xC20).2C2 = C24.62D10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).2C2320,837
(C23xC20).3C2 = C24.63D10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).3C2320,838
(C23xC20).4C2 = C10xC2.C42φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).4C2320,876
(C23xC20).5C2 = C22:C4xC20φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).5C2320,878
(C23xC20).6C2 = C5xC23.34D4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).6C2320,882
(C23xC20).7C2 = C5xC23.8Q8φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).7C2320,886
(C23xC20).8C2 = C10xC22:C8φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).8C2320,907
(C23xC20).9C2 = C22xC10.D4φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).9C2320,1455
(C23xC20).10C2 = C4:C4xC2xC10φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).10C2320,1515
(C23xC20).11C2 = C24.64D10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).11C2320,839
(C23xC20).12C2 = C2xC20.48D4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).12C2320,1456
(C23xC20).13C2 = C22xC4:Dic5φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).13C2320,1457
(C23xC20).14C2 = C23xDic10φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).14C2320,1608
(C23xC20).15C2 = C24.4Dic5φ: C2/C1 → C2 ⊆ Aut C23xC2080(C2^3xC20).15C2320,834
(C23xC20).16C2 = C22xC4.Dic5φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).16C2320,1453
(C23xC20).17C2 = C2xC23.21D10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).17C2320,1458
(C23xC20).18C2 = C2xC20.55D4φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).18C2320,833
(C23xC20).19C2 = C4xC23.D5φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).19C2320,836
(C23xC20).20C2 = C23xC5:2C8φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).20C2320,1452
(C23xC20).21C2 = C22xC4xDic5φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).21C2320,1454
(C23xC20).22C2 = C5xC23.7Q8φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).22C2320,881
(C23xC20).23C2 = C5xC24.4C4φ: C2/C1 → C2 ⊆ Aut C23xC2080(C2^3xC20).23C2320,908
(C23xC20).24C2 = C10xC42:C2φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).24C2320,1516
(C23xC20).25C2 = C10xC22:Q8φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).25C2320,1525
(C23xC20).26C2 = M4(2)xC2xC10φ: C2/C1 → C2 ⊆ Aut C23xC20160(C2^3xC20).26C2320,1568
(C23xC20).27C2 = Q8xC22xC10φ: C2/C1 → C2 ⊆ Aut C23xC20320(C2^3xC20).27C2320,1630

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