Extensions 1→N→G→Q→1 with N=Dic9 and Q=C23

Direct product G=NxQ with N=Dic9 and Q=C23
dρLabelID
C23xDic9288C2^3xDic9288,365

Semidirect products G=N:Q with N=Dic9 and Q=C23
extensionφ:Q→Out NdρLabelID
Dic9:1C23 = C2xD4xD9φ: C23/C22C2 ⊆ Out Dic972Dic9:1C2^3288,356
Dic9:2C23 = C22xC9:D4φ: C23/C22C2 ⊆ Out Dic9144Dic9:2C2^3288,366
Dic9:3C23 = C22xC4xD9φ: trivial image144Dic9:3C2^3288,353

Non-split extensions G=N.Q with N=Dic9 and Q=C23
extensionφ:Q→Out NdρLabelID
Dic9.1C23 = C22xDic18φ: C23/C22C2 ⊆ Out Dic9288Dic9.1C2^3288,352
Dic9.2C23 = C2xD36:5C2φ: C23/C22C2 ⊆ Out Dic9144Dic9.2C2^3288,355
Dic9.3C23 = C2xD4:2D9φ: C23/C22C2 ⊆ Out Dic9144Dic9.3C2^3288,357
Dic9.4C23 = D4:6D18φ: C23/C22C2 ⊆ Out Dic9724Dic9.4C2^3288,358
Dic9.5C23 = C2xQ8xD9φ: C23/C22C2 ⊆ Out Dic9144Dic9.5C2^3288,359
Dic9.6C23 = Q8.15D18φ: C23/C22C2 ⊆ Out Dic91444Dic9.6C2^3288,361
Dic9.7C23 = D4:8D18φ: C23/C22C2 ⊆ Out Dic9724+Dic9.7C2^3288,363
Dic9.8C23 = D4.10D18φ: C23/C22C2 ⊆ Out Dic91444-Dic9.8C2^3288,364
Dic9.9C23 = C2xQ8:3D9φ: trivial image144Dic9.9C2^3288,360
Dic9.10C23 = C4oD4xD9φ: trivial image724Dic9.10C2^3288,362

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