Extensions 1→N→G→Q→1 with N=Dic3 and Q=Q16

Direct product G=NxQ with N=Dic3 and Q=Q16
dρLabelID
Dic3xQ16192Dic3xQ16192,740

Semidirect products G=N:Q with N=Dic3 and Q=Q16
extensionφ:Q→Out NdρLabelID
Dic3:1Q16 = C24.26D4φ: Q16/C8C2 ⊆ Out Dic3192Dic3:1Q16192,742
Dic3:2Q16 = Dic3:Q16φ: Q16/Q8C2 ⊆ Out Dic3192Dic3:2Q16192,354
Dic3:3Q16 = Dic3:3Q16φ: Q16/Q8C2 ⊆ Out Dic3192Dic3:3Q16192,741
Dic3:4Q16 = Dic3:4Q16φ: trivial image192Dic3:4Q16192,349
Dic3:5Q16 = Dic3:5Q16φ: trivial image192Dic3:5Q16192,432

Non-split extensions G=N.Q with N=Dic3 and Q=Q16
extensionφ:Q→Out NdρLabelID
Dic3.1Q16 = Dic3.1Q16φ: Q16/C8C2 ⊆ Out Dic3192Dic3.1Q16192,351
Dic3.2Q16 = C24:2Q8φ: Q16/C8C2 ⊆ Out Dic3192Dic3.2Q16192,433
Dic3.3Q16 = Q8:3Dic6φ: Q16/Q8C2 ⊆ Out Dic3192Dic3.3Q16192,352
Dic3.4Q16 = Dic3.Q16φ: Q16/Q8C2 ⊆ Out Dic3192Dic3.4Q16192,434

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