Extensions 1→N→G→Q→1 with N=C4.Dic3 and Q=C10

Direct product G=N×Q with N=C4.Dic3 and Q=C10
dρLabelID
C10×C4.Dic3240C10xC4.Dic3480,800

Semidirect products G=N:Q with N=C4.Dic3 and Q=C10
extensionφ:Q→Out NdρLabelID
C4.Dic31C10 = C5×C424S3φ: C10/C5C2 ⊆ Out C4.Dic31202C4.Dic3:1C10480,124
C4.Dic32C10 = C5×C12.46D4φ: C10/C5C2 ⊆ Out C4.Dic31204C4.Dic3:2C10480,142
C4.Dic33C10 = C5×C12.D4φ: C10/C5C2 ⊆ Out C4.Dic31204C4.Dic3:3C10480,152
C4.Dic34C10 = C5×Q83Dic3φ: C10/C5C2 ⊆ Out C4.Dic31204C4.Dic3:4C10480,156
C4.Dic35C10 = C5×S3×M4(2)φ: C10/C5C2 ⊆ Out C4.Dic31204C4.Dic3:5C10480,785
C4.Dic36C10 = C5×D126C22φ: C10/C5C2 ⊆ Out C4.Dic31204C4.Dic3:6C10480,811
C4.Dic37C10 = C5×Q8.11D6φ: C10/C5C2 ⊆ Out C4.Dic32404C4.Dic3:7C10480,821
C4.Dic38C10 = C5×D4.Dic3φ: C10/C5C2 ⊆ Out C4.Dic32404C4.Dic3:8C10480,827
C4.Dic39C10 = C5×D4⋊D6φ: C10/C5C2 ⊆ Out C4.Dic31204C4.Dic3:9C10480,828
C4.Dic310C10 = C5×Q8.14D6φ: C10/C5C2 ⊆ Out C4.Dic32404C4.Dic3:10C10480,830
C4.Dic311C10 = C5×C8○D12φ: trivial image2402C4.Dic3:11C10480,780

Non-split extensions G=N.Q with N=C4.Dic3 and Q=C10
extensionφ:Q→Out NdρLabelID
C4.Dic3.1C10 = C5×C24.C4φ: C10/C5C2 ⊆ Out C4.Dic32402C4.Dic3.1C10480,138
C4.Dic3.2C10 = C5×C12.53D4φ: C10/C5C2 ⊆ Out C4.Dic32404C4.Dic3.2C10480,141
C4.Dic3.3C10 = C5×C12.47D4φ: C10/C5C2 ⊆ Out C4.Dic32404C4.Dic3.3C10480,143
C4.Dic3.4C10 = C5×C12.10D4φ: C10/C5C2 ⊆ Out C4.Dic32404C4.Dic3.4C10480,155

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