Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
598 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 2. C2×#14273641 | C2 | semidirect |
| 3. #16837258 | C2 | semidirect |
| 4. #16837168 | C2 | semidirect |
| 5. C22×C22⋊C4×C59 | C2 | semidirect |
| 6. C22×C22⋊D59 | C4 | semidirect |
| 12. C2×C22⋊Dic59 | C4 | semidirect |
| 29. C23×D59 | C2×C4 | semidirect |
| 41. C22×Dic59 | C2×C4 | semidirect |
| 42. C22×Dic59 | C2×C4 | semidirect |
| 45. C22⋊C4×C59 | D4 | semidirect |
| 108. C22×C59 | #99 | semidirect |
| 132. C22×C22⋊C4 | D59 | semidirect |
| 136. C59 | #1898 | semidirect |
| 183. C22⋊C4 | C22⋊D59 | semidirect |
| 242. C22 | #14273641 | semidirect |