Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
368 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 129 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. #16837806 | C2 | semidirect |
| 3. #16837780 | C2 | semidirect |
| 4. #16837751 | C2 | semidirect |
| 7. Q16×Dic59 | C2 | semidirect |
| 8. #16837496 | C2 | semidirect |
| 9. #16837494 | C2 | semidirect |
| 83. C2×Dic59 | Q16 | semidirect |
| 126. C59 | #3170 | semidirect |