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Extensions 1→N→G→Q→1 with N=C2xC3:Dic3 and Q=C4

Direct product G=NxQ with N=C2xC3:Dic3 and Q=C4
dρLabelID
C2xC4xC3:Dic3288C2xC4xC3:Dic3288,779

Semidirect products G=N:Q with N=C2xC3:Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2xC3:Dic3):1C4 = C62.32D4φ: C4/C1 → C4 ⊆ Out C2xC3:Dic3244(C2xC3:Dic3):1C4288,229
(C2xC3:Dic3):2C4 = C62.110D4φ: C4/C1 → C4 ⊆ Out C2xC3:Dic372(C2xC3:Dic3):2C4288,281
(C2xC3:Dic3):3C4 = (C2xC62):C4φ: C4/C1 → C4 ⊆ Out C2xC3:Dic3244(C2xC3:Dic3):3C4288,434
(C2xC3:Dic3):4C4 = C62.6Q8φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3):4C4288,227
(C2xC3:Dic3):5C4 = C62.15Q8φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3288(C2xC3:Dic3):5C4288,306
(C2xC3:Dic3):6C4 = (C6xC12):2C4φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3):6C4288,429
(C2xC3:Dic3):7C4 = C2xDic32φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3):7C4288,602
(C2xC3:Dic3):8C4 = C62.99C23φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3):8C4288,605
(C2xC3:Dic3):9C4 = C2xC62.C22φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3):9C4288,615
(C2xC3:Dic3):10C4 = C62.221C23φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3144(C2xC3:Dic3):10C4288,734
(C2xC3:Dic3):11C4 = C2xC6.Dic6φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3288(C2xC3:Dic3):11C4288,780
(C2xC3:Dic3):12C4 = C2xC4xC32:C4φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3):12C4288,932
(C2xC3:Dic3):13C4 = C2xC4:(C32:C4)φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3):13C4288,933
(C2xC3:Dic3):14C4 = (C6xC12):5C4φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3244(C2xC3:Dic3):14C4288,934

Non-split extensions G=N.Q with N=C2xC3:Dic3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C2xC3:Dic3).1C4 = C12.71D12φ: C4/C1 → C4 ⊆ Out C2xC3:Dic3484-(C2xC3:Dic3).1C4288,209
(C2xC3:Dic3).2C4 = C12.20D12φ: C4/C1 → C4 ⊆ Out C2xC3:Dic3144(C2xC3:Dic3).2C4288,299
(C2xC3:Dic3).3C4 = C3:Dic3.D4φ: C4/C1 → C4 ⊆ Out C2xC3:Dic3484-(C2xC3:Dic3).3C4288,428
(C2xC3:Dic3).4C4 = C2xC2.F9φ: C4/C1 → C4 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).4C4288,865
(C2xC3:Dic3).5C4 = C22.F9φ: C4/C1 → C4 ⊆ Out C2xC3:Dic3488-(C2xC3:Dic3).5C4288,866
(C2xC3:Dic3).6C4 = C6.(S3xC8)φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).6C4288,201
(C2xC3:Dic3).7C4 = C2.Dic32φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).7C4288,203
(C2xC3:Dic3).8C4 = C12.78D12φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3).8C4288,205
(C2xC3:Dic3).9C4 = C12.15Dic6φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).9C4288,220
(C2xC3:Dic3).10C4 = C12.30Dic6φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3288(C2xC3:Dic3).10C4288,289
(C2xC3:Dic3).11C4 = C24:Dic3φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3288(C2xC3:Dic3).11C4288,290
(C2xC3:Dic3).12C4 = C12.60D12φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3144(C2xC3:Dic3).12C4288,295
(C2xC3:Dic3).13C4 = C4xC32:2C8φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).13C4288,423
(C2xC3:Dic3).14C4 = (C3xC12):4C8φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).14C4288,424
(C2xC3:Dic3).15C4 = C32:2C8:C4φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).15C4288,425
(C2xC3:Dic3).16C4 = C32:5(C4:C8)φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).16C4288,427
(C2xC3:Dic3).17C4 = C62:3C8φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3).17C4288,435
(C2xC3:Dic3).18C4 = C2xC12.29D6φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3).18C4288,464
(C2xC3:Dic3).19C4 = C3:C8:20D6φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3244(C2xC3:Dic3).19C4288,466
(C2xC3:Dic3).20C4 = C2xC12.31D6φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3).20C4288,468
(C2xC3:Dic3).21C4 = C2xC24:S3φ: C4/C2 → C2 ⊆ Out C2xC3:Dic3144(C2xC3:Dic3).21C4288,757
(C2xC3:Dic3).22C4 = M4(2)xC3:S3φ: C4/C2 → C2 ⊆ Out C2xC3:Dic372(C2xC3:Dic3).22C4288,763
(C2xC3:Dic3).23C4 = C22xC32:2C8φ: C4/C2 → C2 ⊆ Out C2xC3:Dic396(C2xC3:Dic3).23C4288,939
(C2xC3:Dic3).24C4 = C2xC62.C4φ: C4/C2 → C2 ⊆ Out C2xC3:Dic348(C2xC3:Dic3).24C4288,940
(C2xC3:Dic3).25C4 = C8xC3:Dic3φ: trivial image288(C2xC3:Dic3).25C4288,288
(C2xC3:Dic3).26C4 = C2xC8xC3:S3φ: trivial image144(C2xC3:Dic3).26C4288,756

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