Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 141 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. #16838056 | C2 | semidirect |
| 2. #16837807 | C2 | semidirect |
| 3. #16837716 | C2 | semidirect |
| 4. #16837683 | C2 | semidirect |
| 5. #16837638 | C2 | semidirect |
| 6. C4×D472 | C2 | semidirect |
| 7. C2×#14273661 | C2 | semidirect |
| 8. C8×D4×C59 | C2 | semidirect |
| 52. D4×C59 | D8 | semidirect |
| 69. C8×C59 | #41 | semidirect |
| 96. C8×D4 | D59 | semidirect |
| 98. C59 | #3334 | semidirect |
| 146. D4 | D472 | semidirect |
| 159. C8 | #11745687 | semidirect |