Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
368 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14273718 | C2 | semidirect |
| 3. #16837809 | C2 | semidirect |
| 4. #16837765 | C2 | semidirect |
| 5. #16837720 | C2 | semidirect |
| 6. #16837716 | C2 | semidirect |
| 7. #16837713 | C2 | semidirect |
| 8. #16837701 | C2 | semidirect |
| 9. #16837700 | C2 | semidirect |
| 10. #16837456 | C2 | semidirect |
| 11. C59×#481 | C2 | semidirect |
| 140. #481 | D59 | semidirect |
| 146. C59 | #3234 | semidirect |