Extensions 1→N→G→Q→1 with N=C7:C12 and Q=C22

Direct product G=NxQ with N=C7:C12 and Q=C22
dρLabelID
C22xC7:C12112C2^2xC7:C12336,129

Semidirect products G=N:Q with N=C7:C12 and Q=C22
extensionφ:Q→Out NdρLabelID
C7:C12:1C22 = D4xF7φ: C22/C2C2 ⊆ Out C7:C122812+C7:C12:1C2^2336,125
C7:C12:2C22 = C2xDic7:C6φ: C22/C2C2 ⊆ Out C7:C1256C7:C12:2C2^2336,130
C7:C12:3C22 = C2xC4xF7φ: trivial image56C7:C12:3C2^2336,122

Non-split extensions G=N.Q with N=C7:C12 and Q=C22
extensionφ:Q→Out NdρLabelID
C7:C12.1C22 = C2xC4.F7φ: C22/C2C2 ⊆ Out C7:C12112C7:C12.1C2^2336,121
C7:C12.2C22 = D28:6C6φ: C22/C2C2 ⊆ Out C7:C12566C7:C12.2C2^2336,124
C7:C12.3C22 = D4:2F7φ: C22/C2C2 ⊆ Out C7:C125612-C7:C12.3C2^2336,126
C7:C12.4C22 = Q8xF7φ: C22/C2C2 ⊆ Out C7:C125612-C7:C12.4C2^2336,127
C7:C12.5C22 = Q8:3F7φ: trivial image5612+C7:C12.5C2^2336,128

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