Extensions 1→N→G→Q→1 with N=Dic9 and Q=D4

Direct product G=NxQ with N=Dic9 and Q=D4
dρLabelID
D4xDic9144D4xDic9288,144

Semidirect products G=N:Q with N=Dic9 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic9:1D4 = C36:D4φ: D4/C4C2 ⊆ Out Dic9144Dic9:1D4288,150
Dic9:2D4 = D18:D4φ: D4/C22C2 ⊆ Out Dic9144Dic9:2D4288,94
Dic9:3D4 = Dic9:D4φ: D4/C22C2 ⊆ Out Dic9144Dic9:3D4288,149
Dic9:4D4 = Dic9:4D4φ: trivial image144Dic9:4D4288,91
Dic9:5D4 = D36:C4φ: trivial image144Dic9:5D4288,103

Non-split extensions G=N.Q with N=Dic9 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic9.1D4 = Dic9.D4φ: D4/C4C2 ⊆ Out Dic9144Dic9.1D4288,95
Dic9.2D4 = C36:Q8φ: D4/C4C2 ⊆ Out Dic9288Dic9.2D4288,98
Dic9.3D4 = D8xD9φ: D4/C4C2 ⊆ Out Dic9724+Dic9.3D4288,120
Dic9.4D4 = SD16xD9φ: D4/C4C2 ⊆ Out Dic9724Dic9.4D4288,123
Dic9.5D4 = Q16xD9φ: D4/C4C2 ⊆ Out Dic91444-Dic9.5D4288,127
Dic9.6D4 = C22:2Dic18φ: D4/C22C2 ⊆ Out Dic9144Dic9.6D4288,88
Dic9.7D4 = D18:Q8φ: D4/C22C2 ⊆ Out Dic9144Dic9.7D4288,106
Dic9.8D4 = D8:D9φ: D4/C22C2 ⊆ Out Dic9724Dic9.8D4288,121
Dic9.9D4 = D72:C2φ: D4/C22C2 ⊆ Out Dic9724+Dic9.9D4288,124
Dic9.10D4 = SD16:D9φ: D4/C22C2 ⊆ Out Dic91444-Dic9.10D4288,125
Dic9.11D4 = Q16:D9φ: D4/C22C2 ⊆ Out Dic91444Dic9.11D4288,128
Dic9.12D4 = D8:3D9φ: trivial image1444-Dic9.12D4288,122
Dic9.13D4 = SD16:3D9φ: trivial image1444Dic9.13D4288,126
Dic9.14D4 = D72:5C2φ: trivial image1444+Dic9.14D4288,129

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