| d | ρ | Label | ID | ||
|---|---|---|---|---|---|
| C20×S4 | 60 | 3 | C20xS4 | 480,1014 |
| extension | φ:Q→Aut N | d | ρ | Label | ID |
|---|---|---|---|---|---|
| C5⋊(C4×S4) = F5×S4 | φ: C4×S4/S4 → C4 ⊆ Aut C5 | 20 | 12+ | C5:(C4xS4) | 480,1189 |
| C5⋊2(C4×S4) = Dic5⋊2S4 | φ: C4×S4/A4⋊C4 → C2 ⊆ Aut C5 | 60 | 6 | C5:2(C4xS4) | 480,977 |
| C5⋊3(C4×S4) = C4×C5⋊S4 | φ: C4×S4/C4×A4 → C2 ⊆ Aut C5 | 60 | 6 | C5:3(C4xS4) | 480,1025 |
| C5⋊4(C4×S4) = Dic5×S4 | φ: C4×S4/C2×S4 → C2 ⊆ Aut C5 | 60 | 6- | C5:4(C4xS4) | 480,976 |