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Extensions 1→N→G→Q→1 with N=C6xDic5 and Q=C4

Direct product G=NxQ with N=C6xDic5 and Q=C4
dρLabelID
Dic5xC2xC12480Dic5xC2xC12480,715

Semidirect products G=N:Q with N=C6xDic5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6xDic5):1C4 = (C2xC6).D20φ: C4/C1 → C4 ⊆ Out C6xDic51204(C6xDic5):1C4480,71
(C6xDic5):2C4 = C3xC23.1D10φ: C4/C1 → C4 ⊆ Out C6xDic51204(C6xDic5):2C4480,84
(C6xDic5):3C4 = C3:(C23:F5)φ: C4/C1 → C4 ⊆ Out C6xDic51204(C6xDic5):3C4480,316
(C6xDic5):4C4 = C3xC23:F5φ: C4/C1 → C4 ⊆ Out C6xDic51204(C6xDic5):4C4480,291
(C6xDic5):5C4 = C30.24C42φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5):5C4480,70
(C6xDic5):6C4 = C2xDic3xDic5φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5):6C4480,603
(C6xDic5):7C4 = (C6xDic5):7C4φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5):7C4480,604
(C6xDic5):8C4 = C2xC30.Q8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5):8C4480,617
(C6xDic5):9C4 = C3xC10.10C42φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5):9C4480,109
(C6xDic5):10C4 = C3xC23.11D10φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5):10C4480,670
(C6xDic5):11C4 = C6xC10.D4φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5):11C4480,716
(C6xDic5):12C4 = D10.10D12φ: C4/C2 → C2 ⊆ Out C6xDic5120(C6xDic5):12C4480,311
(C6xDic5):13C4 = C2xC4xC3:F5φ: C4/C2 → C2 ⊆ Out C6xDic5120(C6xDic5):13C4480,1063
(C6xDic5):14C4 = C2xC60:C4φ: C4/C2 → C2 ⊆ Out C6xDic5120(C6xDic5):14C4480,1064
(C6xDic5):15C4 = (C2xC12):6F5φ: C4/C2 → C2 ⊆ Out C6xDic51204(C6xDic5):15C4480,1065
(C6xDic5):16C4 = C3xD10.3Q8φ: C4/C2 → C2 ⊆ Out C6xDic5120(C6xDic5):16C4480,286
(C6xDic5):17C4 = F5xC2xC12φ: C4/C2 → C2 ⊆ Out C6xDic5120(C6xDic5):17C4480,1050
(C6xDic5):18C4 = C6xC4:F5φ: C4/C2 → C2 ⊆ Out C6xDic5120(C6xDic5):18C4480,1051
(C6xDic5):19C4 = C3xD10.C23φ: C4/C2 → C2 ⊆ Out C6xDic51204(C6xDic5):19C4480,1052

Non-split extensions G=N.Q with N=C6xDic5 and Q=C4
extensionφ:Q→Out NdρLabelID
(C6xDic5).1C4 = C12.6D20φ: C4/C1 → C4 ⊆ Out C6xDic52404(C6xDic5).1C4480,37
(C6xDic5).2C4 = C3xC4.12D20φ: C4/C1 → C4 ⊆ Out C6xDic52404(C6xDic5).2C4480,102
(C6xDic5).3C4 = (C2xC60).C4φ: C4/C1 → C4 ⊆ Out C6xDic52404(C6xDic5).3C4480,310
(C6xDic5).4C4 = C3xDic5.D4φ: C4/C1 → C4 ⊆ Out C6xDic52404(C6xDic5).4C4480,285
(C6xDic5).5C4 = Dic5xC3:C8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).5C4480,25
(C6xDic5).6C4 = C30.21C42φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).6C4480,28
(C6xDic5).7C4 = C60.93D4φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).7C4480,31
(C6xDic5).8C4 = C60.13Q8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).8C4480,58
(C6xDic5).9C4 = C2xD5xC3:C8φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).9C4480,357
(C6xDic5).10C4 = D5xC4.Dic3φ: C4/C2 → C2 ⊆ Out C6xDic51204(C6xDic5).10C4480,358
(C6xDic5).11C4 = C2xC20.32D6φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).11C4480,369
(C6xDic5).12C4 = C3xC20.8Q8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).12C4480,92
(C6xDic5).13C4 = C3xC40:8C4φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).13C4480,93
(C6xDic5).14C4 = C3xD10:1C8φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).14C4480,98
(C6xDic5).15C4 = C6xC8:D5φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).15C4480,693
(C6xDic5).16C4 = C3xD5xM4(2)φ: C4/C2 → C2 ⊆ Out C6xDic51204(C6xDic5).16C4480,699
(C6xDic5).17C4 = C4xC15:C8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).17C4480,305
(C6xDic5).18C4 = C60:C8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).18C4480,306
(C6xDic5).19C4 = C30.11C42φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).19C4480,307
(C6xDic5).20C4 = Dic5.13D12φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).20C4480,309
(C6xDic5).21C4 = C30.22M4(2)φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).21C4480,317
(C6xDic5).22C4 = C22xC15:C8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).22C4480,1070
(C6xDic5).23C4 = C2xC15:8M4(2)φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).23C4480,1071
(C6xDic5).24C4 = C12xC5:C8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).24C4480,280
(C6xDic5).25C4 = C3xC20:C8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).25C4480,281
(C6xDic5).26C4 = C3xC10.C42φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).26C4480,282
(C6xDic5).27C4 = C3xDic5:C8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).27C4480,284
(C6xDic5).28C4 = C3xC23.2F5φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).28C4480,292
(C6xDic5).29C4 = C2xC6xC5:C8φ: C4/C2 → C2 ⊆ Out C6xDic5480(C6xDic5).29C4480,1057
(C6xDic5).30C4 = C6xC22.F5φ: C4/C2 → C2 ⊆ Out C6xDic5240(C6xDic5).30C4480,1058
(C6xDic5).31C4 = Dic5xC24φ: trivial image480(C6xDic5).31C4480,91
(C6xDic5).32C4 = D5xC2xC24φ: trivial image240(C6xDic5).32C4480,692

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