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Extensions 1→N→G→Q→1 with N=C10xDic6 and Q=C2

Direct product G=NxQ with N=C10xDic6 and Q=C2
dρLabelID
C2xC10xDic6480C2xC10xDic6480,1150

Semidirect products G=N:Q with N=C10xDic6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xDic6):1C2 = D20.37D6φ: C2/C1 → C2 ⊆ Out C10xDic62404(C10xDic6):1C2480,383
(C10xDic6):2C2 = C20.D12φ: C2/C1 → C2 ⊆ Out C10xDic62404(C10xDic6):2C2480,397
(C10xDic6):3C2 = D20.38D6φ: C2/C1 → C2 ⊆ Out C10xDic62404(C10xDic6):3C2480,1076
(C10xDic6):4C2 = C2xDic6:D5φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):4C2480,393
(C10xDic6):5C2 = C60.67D4φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):5C2480,435
(C10xDic6):6C2 = C60.70D4φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):6C2480,451
(C10xDic6):7C2 = C2xD5xDic6φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):7C2480,1073
(C10xDic6):8C2 = C2xC12.28D10φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):8C2480,1085
(C10xDic6):9C2 = C2xC30.D4φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):9C2480,382
(C10xDic6):10C2 = C60.88D4φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):10C2480,444
(C10xDic6):11C2 = D30:9Q8φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):11C2480,459
(C10xDic6):12C2 = C2xD20:S3φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):12C2480,1075
(C10xDic6):13C2 = C2xD15:Q8φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):13C2480,1082
(C10xDic6):14C2 = D10:1Dic6φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):14C2480,497
(C10xDic6):15C2 = D30:3Q8φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):15C2480,500
(C10xDic6):16C2 = (C2xDic6):D5φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):16C2480,531
(C10xDic6):17C2 = C5xC42:7S3φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):17C2480,754
(C10xDic6):18C2 = C5xDic3.D4φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):18C2480,757
(C10xDic6):19C2 = C5xC23.11D6φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):19C2480,764
(C10xDic6):20C2 = C5xD6:Q8φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):20C2480,775
(C10xDic6):21C2 = C10xC24:C2φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):21C2480,781
(C10xDic6):22C2 = C5xC12.48D4φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):22C2480,803
(C10xDic6):23C2 = C5xC4.D12φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):23C2480,776
(C10xDic6):24C2 = C5xC8.D6φ: C2/C1 → C2 ⊆ Out C10xDic62404(C10xDic6):24C2480,788
(C10xDic6):25C2 = C10xD4.S3φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):25C2480,812
(C10xDic6):26C2 = C5xC23.12D6φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):26C2480,815
(C10xDic6):27C2 = C5xQ8.14D6φ: C2/C1 → C2 ⊆ Out C10xDic62404(C10xDic6):27C2480,830
(C10xDic6):28C2 = C10xD4:2S3φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):28C2480,1155
(C10xDic6):29C2 = S3xQ8xC10φ: C2/C1 → C2 ⊆ Out C10xDic6240(C10xDic6):29C2480,1157
(C10xDic6):30C2 = C5xQ8oD12φ: C2/C1 → C2 ⊆ Out C10xDic62404(C10xDic6):30C2480,1162
(C10xDic6):31C2 = C10xC4oD12φ: trivial image240(C10xDic6):31C2480,1153

Non-split extensions G=N.Q with N=C10xDic6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C10xDic6).1C2 = C60.54D4φ: C2/C1 → C2 ⊆ Out C10xDic62404(C10xDic6).1C2480,38
(C10xDic6).2C2 = C10.Dic12φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).2C2480,49
(C10xDic6).3C2 = C2xC5:Dic12φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).3C2480,396
(C10xDic6).4C2 = Dic5xDic6φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).4C2480,408
(C10xDic6).5C2 = Dic5:Dic6φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).5C2480,452
(C10xDic6).6C2 = Dic6:Dic5φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).6C2480,48
(C10xDic6).7C2 = C2xC15:Q16φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).7C2480,394
(C10xDic6).8C2 = Dic15:7Q8φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).8C2480,420
(C10xDic6).9C2 = Dic15:8Q8φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).9C2480,461
(C10xDic6).10C2 = C5xC2.Dic12φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).10C2480,135
(C10xDic6).11C2 = Dic15:Q8φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).11C2480,405
(C10xDic6).12C2 = C5xC12:2Q8φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).12C2480,748
(C10xDic6).13C2 = C5xC12:Q8φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).13C2480,767
(C10xDic6).14C2 = C10xDic12φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).14C2480,784
(C10xDic6).15C2 = C5xC6.SD16φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).15C2480,129
(C10xDic6).16C2 = C5xC12.47D4φ: C2/C1 → C2 ⊆ Out C10xDic62404(C10xDic6).16C2480,143
(C10xDic6).17C2 = C5xDic6:C4φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).17C2480,766
(C10xDic6).18C2 = C10xC3:Q16φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).18C2480,822
(C10xDic6).19C2 = C5xDic3:Q8φ: C2/C1 → C2 ⊆ Out C10xDic6480(C10xDic6).19C2480,823
(C10xDic6).20C2 = C20xDic6φ: trivial image480(C10xDic6).20C2480,747

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