Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
142 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 142 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 |
|---|---|---|
| 2. #16837439 | C2 | semidirect |
| 3. #16837230 | C2 | semidirect |
| 4. #16837227 | C2 | semidirect |
| 5. #16837203 | C2 | semidirect |
| 6. (C2×D59)⋊C16 | C2 | semidirect |
| 7. C59×#357 | C2 | semidirect |
| 75. #357 | D59 | semidirect |
| 77. C59 | #2234 | semidirect |