Extensions 1→N→G→Q→1 with N=C4.Dic3 and Q=D5

Direct product G=N×Q with N=C4.Dic3 and Q=D5
dρLabelID
D5×C4.Dic31204D5xC4.Dic3480,358

Semidirect products G=N:Q with N=C4.Dic3 and Q=D5
extensionφ:Q→Out NdρLabelID
C4.Dic31D5 = D6016C4φ: D5/C5C2 ⊆ Out C4.Dic31204C4.Dic3:1D5480,57
C4.Dic32D5 = C60.28D4φ: D5/C5C2 ⊆ Out C4.Dic31204C4.Dic3:2D5480,34
C4.Dic33D5 = C60.29D4φ: D5/C5C2 ⊆ Out C4.Dic31204+C4.Dic3:3D5480,36
C4.Dic34D5 = C60.96D4φ: D5/C5C2 ⊆ Out C4.Dic31204C4.Dic3:4D5480,52
C4.Dic35D5 = D20.2Dic3φ: D5/C5C2 ⊆ Out C4.Dic32404C4.Dic3:5D5480,360
C4.Dic36D5 = D154M4(2)φ: D5/C5C2 ⊆ Out C4.Dic31204C4.Dic3:6D5480,368
C4.Dic37D5 = D2019D6φ: D5/C5C2 ⊆ Out C4.Dic31204+C4.Dic3:7D5480,377
C4.Dic38D5 = D6030C22φ: D5/C5C2 ⊆ Out C4.Dic31204C4.Dic3:8D5480,388
C4.Dic39D5 = C60.63D4φ: D5/C5C2 ⊆ Out C4.Dic32404-C4.Dic3:9D5480,389
C4.Dic310D5 = C12.D20φ: D5/C5C2 ⊆ Out C4.Dic32404C4.Dic3:10D5480,391
C4.Dic311D5 = D60.5C4φ: trivial image2404C4.Dic3:11D5480,366

Non-split extensions G=N.Q with N=C4.Dic3 and Q=D5
extensionφ:Q→Out NdρLabelID
C4.Dic3.1D5 = C60.105D4φ: D5/C5C2 ⊆ Out C4.Dic32404C4.Dic3.1D5480,67
C4.Dic3.2D5 = C12.6D20φ: D5/C5C2 ⊆ Out C4.Dic32404C4.Dic3.2D5480,37
C4.Dic3.3D5 = C60.31D4φ: D5/C5C2 ⊆ Out C4.Dic32404-C4.Dic3.3D5480,39
C4.Dic3.4D5 = C60.D4φ: D5/C5C2 ⊆ Out C4.Dic32404C4.Dic3.4D5480,68

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