Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
436 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 137 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. #16837952 | C2 | semidirect |
| 2. #16837682 | C2 | semidirect |
| 3. #16837679 | C2 | semidirect |
| 4. #16837636 | C2 | semidirect |
| 5. #16837597 | C2 | semidirect |
| 6. #16837594 | C2 | semidirect |
| 7. C2×C4⋊(C59⋊C8) | C2 | semidirect |
| 8. C59×#532 | C2 | semidirect |
| 79. C2×C4×C59 | D8 | semidirect |
| 122. #532 | D59 | semidirect |
| 129. C59 | #3245 | semidirect |
| 208. C2×C4 | #11745669 | semidirect |