Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
132 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 3. #16837229 | C2 | semidirect |
| 4. #16837207 | C2 | semidirect |
| 5. #16837205 | C2 | semidirect |
| 7. C59×#366 | C2 | semidirect |
| 69. #366 | D59 | semidirect |
| 73. C59 | #2237 | semidirect |