Extensions 1→N→G→Q→1 with N=C6xDic3 and Q=C6

Direct product G=NxQ with N=C6xDic3 and Q=C6
dρLabelID
Dic3xC62144Dic3xC6^2432,708

Semidirect products G=N:Q with N=C6xDic3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6xDic3):1C6 = C3xD6:Dic3φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3):1C6432,426
(C6xDic3):2C6 = C3xC6.D12φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3):2C6432,427
(C6xDic3):3C6 = C32xD6:C4φ: C6/C3C2 ⊆ Out C6xDic3144(C6xDic3):3C6432,474
(C6xDic3):4C6 = C32xC6.D4φ: C6/C3C2 ⊆ Out C6xDic372(C6xDic3):4C6432,479
(C6xDic3):5C6 = C6xC3:D12φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3):5C6432,656
(C6xDic3):6C6 = C3xD6.3D6φ: C6/C3C2 ⊆ Out C6xDic3244(C6xDic3):6C6432,652
(C6xDic3):7C6 = S3xC6xDic3φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3):7C6432,651
(C6xDic3):8C6 = C6xC6.D6φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3):8C6432,654
(C6xDic3):9C6 = C32xD4:2S3φ: C6/C3C2 ⊆ Out C6xDic372(C6xDic3):9C6432,705
(C6xDic3):10C6 = C3xC6xC3:D4φ: C6/C3C2 ⊆ Out C6xDic372(C6xDic3):10C6432,709
(C6xDic3):11C6 = S3xC6xC12φ: trivial image144(C6xDic3):11C6432,701

Non-split extensions G=N.Q with N=C6xDic3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6xDic3).1C6 = C9xDic3:C4φ: C6/C3C2 ⊆ Out C6xDic3144(C6xDic3).1C6432,132
(C6xDic3).2C6 = C9xC4:Dic3φ: C6/C3C2 ⊆ Out C6xDic3144(C6xDic3).2C6432,133
(C6xDic3).3C6 = C9xD6:C4φ: C6/C3C2 ⊆ Out C6xDic3144(C6xDic3).3C6432,135
(C6xDic3).4C6 = C9xC6.D4φ: C6/C3C2 ⊆ Out C6xDic372(C6xDic3).4C6432,165
(C6xDic3).5C6 = C3xDic3:Dic3φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3).5C6432,428
(C6xDic3).6C6 = C3xC62.C22φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3).6C6432,429
(C6xDic3).7C6 = C32xC4:Dic3φ: C6/C3C2 ⊆ Out C6xDic3144(C6xDic3).7C6432,473
(C6xDic3).8C6 = C6xC32:2Q8φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3).8C6432,657
(C6xDic3).9C6 = C3xDic32φ: C6/C3C2 ⊆ Out C6xDic348(C6xDic3).9C6432,425
(C6xDic3).10C6 = C18xDic6φ: C6/C3C2 ⊆ Out C6xDic3144(C6xDic3).10C6432,341
(C6xDic3).11C6 = C9xD4:2S3φ: C6/C3C2 ⊆ Out C6xDic3724(C6xDic3).11C6432,359
(C6xDic3).12C6 = C18xC3:D4φ: C6/C3C2 ⊆ Out C6xDic372(C6xDic3).12C6432,375
(C6xDic3).13C6 = C32xDic3:C4φ: C6/C3C2 ⊆ Out C6xDic3144(C6xDic3).13C6432,472
(C6xDic3).14C6 = C3xC6xDic6φ: C6/C3C2 ⊆ Out C6xDic3144(C6xDic3).14C6432,700
(C6xDic3).15C6 = Dic3xC36φ: trivial image144(C6xDic3).15C6432,131
(C6xDic3).16C6 = S3xC2xC36φ: trivial image144(C6xDic3).16C6432,345
(C6xDic3).17C6 = Dic3xC2xC18φ: trivial image144(C6xDic3).17C6432,373
(C6xDic3).18C6 = Dic3xC3xC12φ: trivial image144(C6xDic3).18C6432,471

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