Extensions 1→N→G→Q→1 with N=Dic5 and Q=D10

Direct product G=NxQ with N=Dic5 and Q=D10
dρLabelID
C2xD5xDic580C2xD5xDic5400,172

Semidirect products G=N:Q with N=Dic5 and Q=D10
extensionφ:Q→Out NdρLabelID
Dic5:1D10 = D5xC5:D4φ: D10/D5C2 ⊆ Out Dic5404Dic5:1D10400,179
Dic5:2D10 = D10:D10φ: D10/D5C2 ⊆ Out Dic5204+Dic5:2D10400,180
Dic5:3D10 = D5xD20φ: D10/C10C2 ⊆ Out Dic5404+Dic5:3D10400,170
Dic5:4D10 = C2xC5:D20φ: D10/C10C2 ⊆ Out Dic540Dic5:4D10400,177
Dic5:5D10 = C4xD52φ: trivial image404Dic5:5D10400,169
Dic5:6D10 = C2xDic5:2D5φ: trivial image40Dic5:6D10400,175

Non-split extensions G=N.Q with N=Dic5 and Q=D10
extensionφ:Q→Out NdρLabelID
Dic5.1D10 = D20:D5φ: D10/D5C2 ⊆ Out Dic5404Dic5.1D10400,165
Dic5.2D10 = Dic10:D5φ: D10/D5C2 ⊆ Out Dic5404Dic5.2D10400,166
Dic5.3D10 = Dic5.D10φ: D10/D5C2 ⊆ Out Dic5404Dic5.3D10400,173
Dic5.4D10 = D10.4D10φ: D10/D5C2 ⊆ Out Dic5404-Dic5.4D10400,174
Dic5.5D10 = D5xC5:C8φ: D10/D5C2 ⊆ Out Dic5808-Dic5.5D10400,120
Dic5.6D10 = Dic5.4F5φ: D10/D5C2 ⊆ Out Dic5408+Dic5.6D10400,121
Dic5.7D10 = D10.F5φ: D10/D5C2 ⊆ Out Dic5808-Dic5.7D10400,122
Dic5.8D10 = Dic5.F5φ: D10/D5C2 ⊆ Out Dic5408+Dic5.8D10400,123
Dic5.9D10 = D5xDic10φ: D10/C10C2 ⊆ Out Dic5804-Dic5.9D10400,163
Dic5.10D10 = D10.9D10φ: D10/C10C2 ⊆ Out Dic5404Dic5.10D10400,167
Dic5.11D10 = C2xC52:2Q8φ: D10/C10C2 ⊆ Out Dic580Dic5.11D10400,178
Dic5.12D10 = C20.14F5φ: D10/C10C2 ⊆ Out Dic5804Dic5.12D10400,142
Dic5.13D10 = C20.12F5φ: D10/C10C2 ⊆ Out Dic5804Dic5.13D10400,143
Dic5.14D10 = C2xC52:3C8φ: D10/C10C2 ⊆ Out Dic580Dic5.14D10400,146
Dic5.15D10 = C102.C4φ: D10/C10C2 ⊆ Out Dic5404Dic5.15D10400,147
Dic5.16D10 = D20:5D5φ: trivial image804-Dic5.16D10400,164
Dic5.17D10 = Dic10:5D5φ: trivial image404+Dic5.17D10400,168

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