| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|
| C51⋊(C2×C4) = S3×C17⋊C4 | φ: C2×C4/C1 → C2×C4 ⊆ Aut C51 | 51 | 8+ | C51:(C2xC4) | 408,35 |
| C51⋊2(C2×C4) = C2×C51⋊C4 | φ: C2×C4/C2 → C4 ⊆ Aut C51 | 102 | 4 | C51:2(C2xC4) | 408,40 |
| C51⋊3(C2×C4) = C6×C17⋊C4 | φ: C2×C4/C2 → C4 ⊆ Aut C51 | 102 | 4 | C51:3(C2xC4) | 408,39 |
| C51⋊4(C2×C4) = Dic3×D17 | φ: C2×C4/C2 → C22 ⊆ Aut C51 | 204 | 4- | C51:4(C2xC4) | 408,7 |
| C51⋊5(C2×C4) = S3×Dic17 | φ: C2×C4/C2 → C22 ⊆ Aut C51 | 204 | 4- | C51:5(C2xC4) | 408,8 |
| C51⋊6(C2×C4) = D51⋊2C4 | φ: C2×C4/C2 → C22 ⊆ Aut C51 | 204 | 4+ | C51:6(C2xC4) | 408,9 |
| C51⋊7(C2×C4) = C4×D51 | φ: C2×C4/C4 → C2 ⊆ Aut C51 | 204 | 2 | C51:7(C2xC4) | 408,26 |
| C51⋊8(C2×C4) = C12×D17 | φ: C2×C4/C4 → C2 ⊆ Aut C51 | 204 | 2 | C51:8(C2xC4) | 408,16 |
| C51⋊9(C2×C4) = S3×C68 | φ: C2×C4/C4 → C2 ⊆ Aut C51 | 204 | 2 | C51:9(C2xC4) | 408,21 |
| C51⋊10(C2×C4) = C2×Dic51 | φ: C2×C4/C22 → C2 ⊆ Aut C51 | 408 | | C51:10(C2xC4) | 408,28 |
| C51⋊11(C2×C4) = C6×Dic17 | φ: C2×C4/C22 → C2 ⊆ Aut C51 | 408 | | C51:11(C2xC4) | 408,18 |
| C51⋊12(C2×C4) = Dic3×C34 | φ: C2×C4/C22 → C2 ⊆ Aut C51 | 408 | | C51:12(C2xC4) | 408,23 |