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

Direct product G=N×Q with N=Dic6 and Q=Q8
dρLabelID
Q8×Dic6192Q8xDic6192,1125

Semidirect products G=N:Q with N=Dic6 and Q=Q8
extensionφ:Q→Out NdρLabelID
Dic61Q8 = Dic6⋊Q8φ: Q8/C2C22 ⊆ Out Dic6192Dic6:1Q8192,413
Dic62Q8 = Dic3.Q16φ: Q8/C2C22 ⊆ Out Dic6192Dic6:2Q8192,434
Dic63Q8 = Dic63Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6:3Q8192,409
Dic64Q8 = Dic64Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6:4Q8192,410
Dic65Q8 = Dic65Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6:5Q8192,650
Dic66Q8 = Dic66Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6:6Q8192,653
Dic67Q8 = Dic67Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6:7Q8192,1244
Dic68Q8 = Dic68Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6:8Q8192,1280
Dic69Q8 = Dic69Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6:9Q8192,1281
Dic610Q8 = Dic610Q8φ: trivial image192Dic6:10Q8192,1126

Non-split extensions G=N.Q with N=Dic6 and Q=Q8
extensionφ:Q→Out NdρLabelID
Dic6.1Q8 = Dic6.Q8φ: Q8/C2C22 ⊆ Out Dic6192Dic6.1Q8192,416
Dic6.2Q8 = Dic6.2Q8φ: Q8/C2C22 ⊆ Out Dic6192Dic6.2Q8192,436
Dic6.3Q8 = Dic6.3Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6.3Q8192,388
Dic6.4Q8 = Dic6.4Q8φ: Q8/C4C2 ⊆ Out Dic6192Dic6.4Q8192,622

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