Extensions 1→N→G→Q→1 with N=Dic21 and Q=C22

Direct product G=NxQ with N=Dic21 and Q=C22
dρLabelID
C22xDic21336C2^2xDic21336,202

Semidirect products G=N:Q with N=Dic21 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic21:1C22 = D7xC3:D4φ: C22/C1C22 ⊆ Out Dic21844Dic21:1C2^2336,161
Dic21:2C22 = S3xC7:D4φ: C22/C1C22 ⊆ Out Dic21844Dic21:2C2^2336,162
Dic21:3C22 = D4xD21φ: C22/C2C2 ⊆ Out Dic21844+Dic21:3C2^2336,198
Dic21:4C22 = C2xC21:7D4φ: C22/C2C2 ⊆ Out Dic21168Dic21:4C2^2336,203
Dic21:5C22 = C4xS3xD7φ: C22/C2C2 ⊆ Out Dic21844Dic21:5C2^2336,147
Dic21:6C22 = C28:D6φ: C22/C2C2 ⊆ Out Dic21844Dic21:6C2^2336,150
Dic21:7C22 = C2xDic3xD7φ: C22/C2C2 ⊆ Out Dic21168Dic21:7C2^2336,151
Dic21:8C22 = C2xS3xDic7φ: C22/C2C2 ⊆ Out Dic21168Dic21:8C2^2336,154
Dic21:9C22 = C2xC21:D4φ: C22/C2C2 ⊆ Out Dic21168Dic21:9C2^2336,157
Dic21:10C22 = C2xC4xD21φ: trivial image168Dic21:10C2^2336,195

Non-split extensions G=N.Q with N=Dic21 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic21.1C22 = D7xDic6φ: C22/C1C22 ⊆ Out Dic211684-Dic21.1C2^2336,137
Dic21.2C22 = D28:5S3φ: C22/C1C22 ⊆ Out Dic211684-Dic21.2C2^2336,138
Dic21.3C22 = S3xDic14φ: C22/C1C22 ⊆ Out Dic211684-Dic21.3C2^2336,140
Dic21.4C22 = D12:5D7φ: C22/C1C22 ⊆ Out Dic211684-Dic21.4C2^2336,145
Dic21.5C22 = Dic7.D6φ: C22/C1C22 ⊆ Out Dic211684Dic21.5C2^2336,152
Dic21.6C22 = Dic3.D14φ: C22/C1C22 ⊆ Out Dic211684Dic21.6C2^2336,155
Dic21.7C22 = C2xDic42φ: C22/C2C2 ⊆ Out Dic21336Dic21.7C2^2336,194
Dic21.8C22 = D84:11C2φ: C22/C2C2 ⊆ Out Dic211682Dic21.8C2^2336,197
Dic21.9C22 = Q8xD21φ: C22/C2C2 ⊆ Out Dic211684-Dic21.9C2^2336,200
Dic21.10C22 = D28:S3φ: C22/C2C2 ⊆ Out Dic211684Dic21.10C2^2336,139
Dic21.11C22 = D12:D7φ: C22/C2C2 ⊆ Out Dic211684Dic21.11C2^2336,141
Dic21.12C22 = D21:Q8φ: C22/C2C2 ⊆ Out Dic211684Dic21.12C2^2336,143
Dic21.13C22 = D6.D14φ: C22/C2C2 ⊆ Out Dic211684Dic21.13C2^2336,144
Dic21.14C22 = C42.C23φ: C22/C2C2 ⊆ Out Dic211684-Dic21.14C2^2336,153
Dic21.15C22 = C2xC21:Q8φ: C22/C2C2 ⊆ Out Dic21336Dic21.15C2^2336,160
Dic21.16C22 = D4:2D21φ: trivial image1684-Dic21.16C2^2336,199
Dic21.17C22 = Q8:3D21φ: trivial image1684+Dic21.17C2^2336,201

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