Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #16837982 | C2 | semidirect |
| 2. #16837731 | C2 | semidirect |
| 3. #16837722 | C2 | semidirect |
| 4. #16837655 | C2 | semidirect |
| 5. #16837633 | C2 | semidirect |
| 6. #16837563 | C2 | semidirect |
| 7. #16837550 | C2 | semidirect |
| 8. #16837370 | C2 | semidirect |
| 9. C59×#470 | C2 | semidirect |
| 121. #470 | D59 | semidirect |
| 127. C59 | #3204 | semidirect |