| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C22.1(C4×S3) = D12.C4 | φ: C4×S3/Dic3 → C2 ⊆ Aut C22 | 48 | 4 | C2^2.1(C4xS3) | 96,114 |
| C22.2(C4×S3) = C8○D12 | φ: C4×S3/C12 → C2 ⊆ Aut C22 | 48 | 2 | C2^2.2(C4xS3) | 96,108 |
| C22.3(C4×S3) = C23.6D6 | φ: C4×S3/D6 → C2 ⊆ Aut C22 | 24 | 4 | C2^2.3(C4xS3) | 96,13 |
| C22.4(C4×S3) = C12.46D4 | φ: C4×S3/D6 → C2 ⊆ Aut C22 | 24 | 4+ | C2^2.4(C4xS3) | 96,30 |
| C22.5(C4×S3) = C12.47D4 | φ: C4×S3/D6 → C2 ⊆ Aut C22 | 48 | 4- | C2^2.5(C4xS3) | 96,31 |
| C22.6(C4×S3) = C23.16D6 | φ: C4×S3/D6 → C2 ⊆ Aut C22 | 48 | | C2^2.6(C4xS3) | 96,84 |
| C22.7(C4×S3) = S3×M4(2) | φ: C4×S3/D6 → C2 ⊆ Aut C22 | 24 | 4 | C2^2.7(C4xS3) | 96,113 |
| C22.8(C4×S3) = C8×Dic3 | central extension (φ=1) | 96 | | C2^2.8(C4xS3) | 96,20 |
| C22.9(C4×S3) = Dic3⋊C8 | central extension (φ=1) | 96 | | C2^2.9(C4xS3) | 96,21 |
| C22.10(C4×S3) = C24⋊C4 | central extension (φ=1) | 96 | | C2^2.10(C4xS3) | 96,22 |
| C22.11(C4×S3) = D6⋊C8 | central extension (φ=1) | 48 | | C2^2.11(C4xS3) | 96,27 |
| C22.12(C4×S3) = C6.C42 | central extension (φ=1) | 96 | | C2^2.12(C4xS3) | 96,38 |
| C22.13(C4×S3) = S3×C2×C8 | central extension (φ=1) | 48 | | C2^2.13(C4xS3) | 96,106 |
| C22.14(C4×S3) = C2×C8⋊S3 | central extension (φ=1) | 48 | | C2^2.14(C4xS3) | 96,107 |
| C22.15(C4×S3) = C2×C4×Dic3 | central extension (φ=1) | 96 | | C2^2.15(C4xS3) | 96,129 |
| C22.16(C4×S3) = C2×Dic3⋊C4 | central extension (φ=1) | 96 | | C2^2.16(C4xS3) | 96,130 |
| C22.17(C4×S3) = C2×D6⋊C4 | central extension (φ=1) | 48 | | C2^2.17(C4xS3) | 96,134 |