Extensions 1→N→G→Q→1 with N=C4.Dic3 and Q=C2

Direct product G=N×Q with N=C4.Dic3 and Q=C2
dρLabelID
C2×C4.Dic348C2xC4.Dic396,128

Semidirect products G=N:Q with N=C4.Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Dic31C2 = C424S3φ: C2/C1C2 ⊆ Out C4.Dic3242C4.Dic3:1C296,12
C4.Dic32C2 = C12.46D4φ: C2/C1C2 ⊆ Out C4.Dic3244+C4.Dic3:2C296,30
C4.Dic33C2 = C12.D4φ: C2/C1C2 ⊆ Out C4.Dic3244C4.Dic3:3C296,40
C4.Dic34C2 = Q83Dic3φ: C2/C1C2 ⊆ Out C4.Dic3244C4.Dic3:4C296,44
C4.Dic35C2 = S3×M4(2)φ: C2/C1C2 ⊆ Out C4.Dic3244C4.Dic3:5C296,113
C4.Dic36C2 = D126C22φ: C2/C1C2 ⊆ Out C4.Dic3244C4.Dic3:6C296,139
C4.Dic37C2 = Q8.11D6φ: C2/C1C2 ⊆ Out C4.Dic3484C4.Dic3:7C296,149
C4.Dic38C2 = D4.Dic3φ: C2/C1C2 ⊆ Out C4.Dic3484C4.Dic3:8C296,155
C4.Dic39C2 = D4⋊D6φ: C2/C1C2 ⊆ Out C4.Dic3244+C4.Dic3:9C296,156
C4.Dic310C2 = Q8.14D6φ: C2/C1C2 ⊆ Out C4.Dic3484-C4.Dic3:10C296,158
C4.Dic311C2 = C8○D12φ: trivial image482C4.Dic3:11C296,108

Non-split extensions G=N.Q with N=C4.Dic3 and Q=C2
extensionφ:Q→Out NdρLabelID
C4.Dic3.1C2 = C24.C4φ: C2/C1C2 ⊆ Out C4.Dic3482C4.Dic3.1C296,26
C4.Dic3.2C2 = C12.53D4φ: C2/C1C2 ⊆ Out C4.Dic3484C4.Dic3.2C296,29
C4.Dic3.3C2 = C12.47D4φ: C2/C1C2 ⊆ Out C4.Dic3484-C4.Dic3.3C296,31
C4.Dic3.4C2 = C12.10D4φ: C2/C1C2 ⊆ Out C4.Dic3484C4.Dic3.4C296,43

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