Extensions 1→N→G→Q→1 with N=Dic6 and Q=C22

Direct product G=NxQ with N=Dic6 and Q=C22
dρLabelID
C22xDic696C2^2xDic696,205

Semidirect products G=N:Q with N=Dic6 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic6:1C22 = D8:S3φ: C22/C1C22 ⊆ Out Dic6244Dic6:1C2^296,118
Dic6:2C22 = S3xSD16φ: C22/C1C22 ⊆ Out Dic6244Dic6:2C2^296,120
Dic6:3C22 = C2xC24:C2φ: C22/C2C2 ⊆ Out Dic648Dic6:3C2^296,109
Dic6:4C22 = C8:D6φ: C22/C2C2 ⊆ Out Dic6244+Dic6:4C2^296,115
Dic6:5C22 = D12:6C22φ: C22/C2C2 ⊆ Out Dic6244Dic6:5C2^296,139
Dic6:6C22 = C2xD4.S3φ: C22/C2C2 ⊆ Out Dic648Dic6:6C2^296,140
Dic6:7C22 = C2xD4:2S3φ: C22/C2C2 ⊆ Out Dic648Dic6:7C2^296,210
Dic6:8C22 = D4:6D6φ: C22/C2C2 ⊆ Out Dic6244Dic6:8C2^296,211
Dic6:9C22 = C2xS3xQ8φ: C22/C2C2 ⊆ Out Dic648Dic6:9C2^296,212
Dic6:10C22 = S3xC4oD4φ: C22/C2C2 ⊆ Out Dic6244Dic6:10C2^296,215
Dic6:11C22 = C2xC4oD12φ: trivial image48Dic6:11C2^296,208
Dic6:12C22 = D4oD12φ: trivial image244+Dic6:12C2^296,216

Non-split extensions G=N.Q with N=Dic6 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic6.1C22 = D8:3S3φ: C22/C1C22 ⊆ Out Dic6484-Dic6.1C2^296,119
Dic6.2C22 = D4.D6φ: C22/C1C22 ⊆ Out Dic6484-Dic6.2C2^296,122
Dic6.3C22 = Q8.7D6φ: C22/C1C22 ⊆ Out Dic6484Dic6.3C2^296,123
Dic6.4C22 = S3xQ16φ: C22/C1C22 ⊆ Out Dic6484-Dic6.4C2^296,124
Dic6.5C22 = Q16:S3φ: C22/C1C22 ⊆ Out Dic6484Dic6.5C2^296,125
Dic6.6C22 = C4oD24φ: C22/C2C2 ⊆ Out Dic6482Dic6.6C2^296,111
Dic6.7C22 = C2xDic12φ: C22/C2C2 ⊆ Out Dic696Dic6.7C2^296,112
Dic6.8C22 = C8.D6φ: C22/C2C2 ⊆ Out Dic6484-Dic6.8C2^296,116
Dic6.9C22 = Q8.11D6φ: C22/C2C2 ⊆ Out Dic6484Dic6.9C2^296,149
Dic6.10C22 = C2xC3:Q16φ: C22/C2C2 ⊆ Out Dic696Dic6.10C2^296,150
Dic6.11C22 = Q8.13D6φ: C22/C2C2 ⊆ Out Dic6484Dic6.11C2^296,157
Dic6.12C22 = Q8.14D6φ: C22/C2C2 ⊆ Out Dic6484-Dic6.12C2^296,158
Dic6.13C22 = Q8.15D6φ: C22/C2C2 ⊆ Out Dic6484Dic6.13C2^296,214
Dic6.14C22 = Q8oD12φ: C22/C2C2 ⊆ Out Dic6484-Dic6.14C2^296,217

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