Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#14273735 | C2 | semidirect |
| 3. #16837976 | C2 | semidirect |
| 4. #16837657 | C2 | semidirect |
| 5. #16837645 | C2 | semidirect |
| 6. #16837640 | C2 | semidirect |
| 7. #16837628 | C2 | semidirect |
| 8. #16837444 | C2 | semidirect |
| 9. #16837398 | C2 | semidirect |
| 10. C2×#14273651 | C2 | semidirect |
| 11. C2×#137×C59 | C2 | semidirect |
| 65. M16×C59 | D4 | semidirect |
| 144. C2×#137 | D59 | semidirect |
| 155. C59 | #3063 | semidirect |
| 210. M16 | C22⋊D59 | semidirect |