Extensions 1→N→G→Q→1 with N=Dic31 and Q=C22

Direct product G=N×Q with N=Dic31 and Q=C22

Semidirect products G=N:Q with N=Dic31 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic311C22 = D4×D31φ: C22/C2C2 ⊆ Out Dic311244+Dic31:1C2^2496,31
Dic312C22 = C2×C31⋊D4φ: C22/C2C2 ⊆ Out Dic31248Dic31:2C2^2496,36
Dic313C22 = C2×C4×D31φ: trivial image248Dic31:3C2^2496,28

Non-split extensions G=N.Q with N=Dic31 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic31.1C22 = C2×Dic62φ: C22/C2C2 ⊆ Out Dic31496Dic31.1C2^2496,27
Dic31.2C22 = D1245C2φ: C22/C2C2 ⊆ Out Dic312482Dic31.2C2^2496,30
Dic31.3C22 = Q8×D31φ: C22/C2C2 ⊆ Out Dic312484-Dic31.3C2^2496,33
Dic31.4C22 = D42D31φ: trivial image2484-Dic31.4C2^2496,32
Dic31.5C22 = Q82D31φ: trivial image2484+Dic31.5C2^2496,34