Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
326 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 73 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. #16837366 | C2 | semidirect |
| 3. #16837135 | C2 | semidirect |
| 4. C59×#381 | C2 | semidirect |
| 5. C22×D236 | C4 | semidirect |
| 10. #14273701 | C4 | semidirect |
| 12. C2×C4⋊Dic59 | C4 | semidirect |
| 15. C22⋊(C59⋊C8) | C22 | semidirect |
| 19. #95×C59 | C22 | semidirect |
| 105. #381 | D59 | semidirect |
| 107. C59 | #1510 | semidirect |
| 122. #95 | C2×D59 | semidirect |