Extensions 1→N→G→Q→1 with N=Q8 and Q=Dic6

Direct product G=NxQ with N=Q8 and Q=Dic6
dρLabelID
Q8xDic6192Q8xDic6192,1125

Semidirect products G=N:Q with N=Q8 and Q=Dic6
extensionφ:Q→Out NdρLabelID
Q8:Dic6 = Q8:Dic6φ: Dic6/C4S3 ⊆ Out Q864Q8:Dic6192,945
Q8:2Dic6 = Q8:2Dic6φ: Dic6/Dic3C2 ⊆ Out Q8192Q8:2Dic6192,350
Q8:3Dic6 = Q8:3Dic6φ: Dic6/Dic3C2 ⊆ Out Q8192Q8:3Dic6192,352
Q8:4Dic6 = Q8:4Dic6φ: Dic6/C12C2 ⊆ Out Q8192Q8:4Dic6192,579
Q8:5Dic6 = Q8:5Dic6φ: Dic6/C12C2 ⊆ Out Q8192Q8:5Dic6192,580
Q8:6Dic6 = Q8:6Dic6φ: trivial image192Q8:6Dic6192,1128
Q8:7Dic6 = Q8:7Dic6φ: trivial image192Q8:7Dic6192,1129

Non-split extensions G=N.Q with N=Q8 and Q=Dic6
extensionφ:Q→Out NdρLabelID
Q8.1Dic6 = Q8.Dic6φ: Dic6/C4S3 ⊆ Out Q864Q8.1Dic6192,948
Q8.2Dic6 = SL2(F3):Q8φ: Dic6/C4S3 ⊆ Out Q864Q8.2Dic6192,950
Q8.3Dic6 = Q8.3Dic6φ: Dic6/Dic3C2 ⊆ Out Q8192Q8.3Dic6192,355
Q8.4Dic6 = Q8.4Dic6φ: Dic6/Dic3C2 ⊆ Out Q8192Q8.4Dic6192,358
Q8.5Dic6 = Q8.5Dic6φ: Dic6/C12C2 ⊆ Out Q8192Q8.5Dic6192,581

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