Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
216 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 53 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. #16837842 | C2 | semidirect |
| 2. C2×#14273671 | C2 | semidirect |
| 3. #16837677 | C2 | semidirect |
| 4. #16837215 | C2 | semidirect |
| 5. #16837209 | C2 | semidirect |
| 6. #16837186 | C2 | semidirect |
| 9. C2×Dic236 | C22 | semidirect |
| 13. #14273667 | C22 | semidirect |
| 14. C2×C59⋊C16 | C22 | semidirect |
| 15. #14273663 | C22 | semidirect |
| 99. C59 | #2194 | semidirect |