| extension | φ:Q→Aut N | d | ρ | Label | ID | 
|---|
| (C3×C33)⋊1C22 = C3×S3×D11 | φ: C22/C1 → C22 ⊆ Aut C3×C33 | 66 | 4 | (C3xC33):1C2^2 | 396,19 | 
| (C3×C33)⋊2C22 = C3⋊S3×D11 | φ: C22/C1 → C22 ⊆ Aut C3×C33 | 99 |  | (C3xC33):2C2^2 | 396,20 | 
| (C3×C33)⋊3C22 = S3×D33 | φ: C22/C1 → C22 ⊆ Aut C3×C33 | 66 | 4+ | (C3xC33):3C2^2 | 396,22 | 
| (C3×C33)⋊4C22 = D33⋊S3 | φ: C22/C1 → C22 ⊆ Aut C3×C33 | 66 | 4 | (C3xC33):4C2^2 | 396,23 | 
| (C3×C33)⋊5C22 = S32×C11 | φ: C22/C1 → C22 ⊆ Aut C3×C33 | 66 | 4 | (C3xC33):5C2^2 | 396,21 | 
| (C3×C33)⋊6C22 = C2×C3⋊D33 | φ: C22/C2 → C2 ⊆ Aut C3×C33 | 198 |  | (C3xC33):6C2^2 | 396,29 | 
| (C3×C33)⋊7C22 = C6×D33 | φ: C22/C2 → C2 ⊆ Aut C3×C33 | 132 | 2 | (C3xC33):7C2^2 | 396,27 | 
| (C3×C33)⋊8C22 = C3×C6×D11 | φ: C22/C2 → C2 ⊆ Aut C3×C33 | 198 |  | (C3xC33):8C2^2 | 396,25 | 
| (C3×C33)⋊9C22 = S3×C66 | φ: C22/C2 → C2 ⊆ Aut C3×C33 | 132 | 2 | (C3xC33):9C2^2 | 396,26 | 
| (C3×C33)⋊10C22 = C3⋊S3×C22 | φ: C22/C2 → C2 ⊆ Aut C3×C33 | 198 |  | (C3xC33):10C2^2 | 396,28 |