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

Direct product G=N×Q with N=C7⋊C12 and Q=C22

Semidirect products G=N:Q with N=C7⋊C12 and Q=C22
extensionφ:Q→Out NdρLabelID
C7⋊C121C22 = D4×F7φ: C22/C2C2 ⊆ Out C7⋊C122812+C7:C12:1C2^2336,125
C7⋊C122C22 = C2×Dic7⋊C6φ: C22/C2C2 ⊆ Out C7⋊C1256C7:C12:2C2^2336,130
C7⋊C123C22 = C2×C4×F7φ: 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 = C2×C4.F7φ: C22/C2C2 ⊆ Out C7⋊C12112C7:C12.1C2^2336,121
C7⋊C12.2C22 = D286C6φ: C22/C2C2 ⊆ Out C7⋊C12566C7:C12.2C2^2336,124
C7⋊C12.3C22 = D42F7φ: C22/C2C2 ⊆ Out C7⋊C125612-C7:C12.3C2^2336,126
C7⋊C12.4C22 = Q8×F7φ: C22/C2C2 ⊆ Out C7⋊C125612-C7:C12.4C2^2336,127
C7⋊C12.5C22 = Q83F7φ: trivial image5612+C7:C12.5C2^2336,128