Extensions 1→N→G→Q→1 with N=C4.Dic3 and Q=C6

Direct product G=N×Q with N=C4.Dic3 and Q=C6
dρLabelID
C6×C4.Dic348C6xC4.Dic3288,692

Semidirect products G=N:Q with N=C4.Dic3 and Q=C6
extensionφ:Q→Out NdρLabelID
C4.Dic31C6 = C3×C424S3φ: C6/C3C2 ⊆ Out C4.Dic3242C4.Dic3:1C6288,239
C4.Dic32C6 = C3×C12.46D4φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3:2C6288,257
C4.Dic33C6 = C3×C12.D4φ: C6/C3C2 ⊆ Out C4.Dic3244C4.Dic3:3C6288,267
C4.Dic34C6 = C3×Q83Dic3φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3:4C6288,271
C4.Dic35C6 = C3×S3×M4(2)φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3:5C6288,677
C4.Dic36C6 = C3×D126C22φ: C6/C3C2 ⊆ Out C4.Dic3244C4.Dic3:6C6288,703
C4.Dic37C6 = C3×Q8.11D6φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3:7C6288,713
C4.Dic38C6 = C3×D4.Dic3φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3:8C6288,719
C4.Dic39C6 = C3×D4⋊D6φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3:9C6288,720
C4.Dic310C6 = C3×Q8.14D6φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3:10C6288,722
C4.Dic311C6 = C3×C8○D12φ: trivial image482C4.Dic3:11C6288,672

Non-split extensions G=N.Q with N=C4.Dic3 and Q=C6
extensionφ:Q→Out NdρLabelID
C4.Dic3.1C6 = C3×C24.C4φ: C6/C3C2 ⊆ Out C4.Dic3482C4.Dic3.1C6288,253
C4.Dic3.2C6 = C3×C12.53D4φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3.2C6288,256
C4.Dic3.3C6 = C3×C12.47D4φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3.3C6288,258
C4.Dic3.4C6 = C3×C12.10D4φ: C6/C3C2 ⊆ Out C4.Dic3484C4.Dic3.4C6288,270

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