Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
668 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 181 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. C22×#11745660 | C2 | semidirect |
| 2. C22×D472 | C2 | semidirect |
| 3. C2×#14273724 | C2 | semidirect |
| 4. C2×#14273715 | C2 | semidirect |
| 5. #16837791 | C2 | direct (N × H) |
| 6. C2×#97×C59 | C2 | semidirect |
| 12. C2×#11745660 | C22 | semidirect |
| 14. C2×D472 | C22 | semidirect |
| 16. #14273724 | C22 | semidirect |
| 18. #14273715 | C22 | semidirect |
| 22. #97×C59 | C22 | semidirect |
| 40. C2×C8×C59 | D4 | semidirect |
| 69. C8×C59 | C2×D4 | semidirect |
| 84. C2×C59 | #496 | semidirect |
| 94. C2×#97 | D59 | semidirect |
| 95. C59 | C2×#496 | semidirect |
| 111. #97 | C2×D59 | semidirect |
| 131. C2×C8 | D236 | semidirect |
| 158. C8 | C2×D236 | semidirect |
| 174. C2 | #16837791 | direct (N × H) |