Extensions 1→N→G→Q→1 with N=C23xC10 and Q=C4

Direct product G=NxQ with N=C23xC10 and Q=C4
dρLabelID
C24xC20320C2^4xC20320,1628

Semidirect products G=N:Q with N=C23xC10 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C23xC10):1C4 = C5xC2wrC4φ: C4/C1C4 ⊆ Aut C23xC10404(C2^3xC10):1C4320,156
(C23xC10):2C4 = C10xC23:C4φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10):2C4320,910
(C23xC10):3C4 = C24:2Dic5φ: C4/C1C4 ⊆ Aut C23xC10404(C2^3xC10):3C4320,94
(C23xC10):4C4 = C2xC23:Dic5φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10):4C4320,846
(C23xC10):5C4 = C24:2F5φ: C4/C1C4 ⊆ Aut C23xC10404(C2^3xC10):5C4320,272
(C23xC10):6C4 = C2xC23:F5φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10):6C4320,1134
(C23xC10):7C4 = C24:4F5φ: C4/C1C4 ⊆ Aut C23xC1040(C2^3xC10):7C4320,1138
(C23xC10):8C4 = C22xC22:F5φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10):8C4320,1607
(C23xC10):9C4 = C24xF5φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10):9C4320,1638
(C23xC10):10C4 = C5xC24:3C4φ: C4/C2C2 ⊆ Aut C23xC1080(C2^3xC10):10C4320,880
(C23xC10):11C4 = C22:C4xC2xC10φ: C4/C2C2 ⊆ Aut C23xC10160(C2^3xC10):11C4320,1514
(C23xC10):12C4 = C25.2D5φ: C4/C2C2 ⊆ Aut C23xC1080(C2^3xC10):12C4320,874
(C23xC10):13C4 = C22xC23.D5φ: C4/C2C2 ⊆ Aut C23xC10160(C2^3xC10):13C4320,1511
(C23xC10):14C4 = C24xDic5φ: C4/C2C2 ⊆ Aut C23xC10320(C2^3xC10):14C4320,1626

Non-split extensions G=N.Q with N=C23xC10 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C23xC10).1C4 = C5xC23:C8φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10).1C4320,128
(C23xC10).2C4 = C10xC4.D4φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10).2C4320,912
(C23xC10).3C4 = C24.Dic5φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10).3C4320,83
(C23xC10).4C4 = C2xC20.D4φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10).4C4320,843
(C23xC10).5C4 = C24.F5φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10).5C4320,271
(C23xC10).6C4 = C2xC23.2F5φ: C4/C1C4 ⊆ Aut C23xC10160(C2^3xC10).6C4320,1135
(C23xC10).7C4 = C24.4F5φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10).7C4320,1136
(C23xC10).8C4 = C2xC23.F5φ: C4/C1C4 ⊆ Aut C23xC1080(C2^3xC10).8C4320,1137
(C23xC10).9C4 = C23xC5:C8φ: C4/C1C4 ⊆ Aut C23xC10320(C2^3xC10).9C4320,1605
(C23xC10).10C4 = C22xC22.F5φ: C4/C1C4 ⊆ Aut C23xC10160(C2^3xC10).10C4320,1606
(C23xC10).11C4 = C10xC22:C8φ: C4/C2C2 ⊆ Aut C23xC10160(C2^3xC10).11C4320,907
(C23xC10).12C4 = C5xC24.4C4φ: C4/C2C2 ⊆ Aut C23xC1080(C2^3xC10).12C4320,908
(C23xC10).13C4 = M4(2)xC2xC10φ: C4/C2C2 ⊆ Aut C23xC10160(C2^3xC10).13C4320,1568
(C23xC10).14C4 = C2xC20.55D4φ: C4/C2C2 ⊆ Aut C23xC10160(C2^3xC10).14C4320,833
(C23xC10).15C4 = C24.4Dic5φ: C4/C2C2 ⊆ Aut C23xC1080(C2^3xC10).15C4320,834
(C23xC10).16C4 = C23xC5:2C8φ: C4/C2C2 ⊆ Aut C23xC10320(C2^3xC10).16C4320,1452
(C23xC10).17C4 = C22xC4.Dic5φ: C4/C2C2 ⊆ Aut C23xC10160(C2^3xC10).17C4320,1453

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