| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C21.1(C3×S3) = C9⋊F7 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 63 | 6+ | C21.1(C3xS3) | 378,18 |
| C21.2(C3×S3) = C9⋊2F7 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 63 | 6+ | C21.2(C3xS3) | 378,19 |
| C21.3(C3×S3) = C9⋊5F7 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 63 | 6+ | C21.3(C3xS3) | 378,20 |
| C21.4(C3×S3) = C32⋊F7 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 63 | 6+ | C21.4(C3xS3) | 378,22 |
| C21.5(C3×S3) = D21⋊C9 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 126 | 6 | C21.5(C3xS3) | 378,21 |
| C21.6(C3×S3) = C63⋊C6 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 63 | 6 | C21.6(C3xS3) | 378,13 |
| C21.7(C3×S3) = C63⋊6C6 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 63 | 6 | C21.7(C3xS3) | 378,14 |
| C21.8(C3×S3) = D9×C7⋊C3 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 63 | 6 | C21.8(C3xS3) | 378,15 |
| C21.9(C3×S3) = C7⋊He3⋊C2 | φ: C3×S3/C3 → C6 ⊆ Aut C21 | 63 | 6 | C21.9(C3xS3) | 378,17 |
| C21.10(C3×S3) = S3×C7⋊C9 | φ: C3×S3/S3 → C3 ⊆ Aut C21 | 126 | 6 | C21.10(C3xS3) | 378,16 |
| C21.11(C3×S3) = C3×D63 | φ: C3×S3/C32 → C2 ⊆ Aut C21 | 126 | 2 | C21.11(C3xS3) | 378,36 |
| C21.12(C3×S3) = He3⋊D7 | φ: C3×S3/C32 → C2 ⊆ Aut C21 | 63 | 6+ | C21.12(C3xS3) | 378,38 |
| C21.13(C3×S3) = D63⋊C3 | φ: C3×S3/C32 → C2 ⊆ Aut C21 | 63 | 6+ | C21.13(C3xS3) | 378,39 |
| C21.14(C3×S3) = C9×D21 | φ: C3×S3/C32 → C2 ⊆ Aut C21 | 126 | 2 | C21.14(C3xS3) | 378,37 |
| C21.15(C3×S3) = D9×C21 | φ: C3×S3/C32 → C2 ⊆ Aut C21 | 126 | 2 | C21.15(C3xS3) | 378,32 |
| C21.16(C3×S3) = C7×C32⋊C6 | φ: C3×S3/C32 → C2 ⊆ Aut C21 | 63 | 6 | C21.16(C3xS3) | 378,34 |
| C21.17(C3×S3) = C7×C9⋊C6 | φ: C3×S3/C32 → C2 ⊆ Aut C21 | 63 | 6 | C21.17(C3xS3) | 378,35 |
| C21.18(C3×S3) = S3×C63 | central extension (φ=1) | 126 | 2 | C21.18(C3xS3) | 378,33 |