Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 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. #16838122 | C2 | semidirect |
| 3. #16837753 | C2 | semidirect |
| 4. #16837744 | C2 | semidirect |
| 5. #16837683 | C2 | semidirect |
| 6. #16837643 | C2 | semidirect |
| 7. #16837613 | C2 | semidirect |
| 8. #16837566 | C2 | semidirect |
| 9. C4×#11745660 | C2 | semidirect |
| 10. #16837399 | C2 | semidirect |
| 11. C8×D4×C59 | C2 | semidirect |
| 135. C8×D4 | D59 | semidirect |
| 137. C59 | #3302 | semidirect |