Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
584 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14273753 | C2 | semidirect |
| 2. C4×#11745685 | C2 | semidirect |
| 3. #16837599 | C2 | semidirect |
| 4. #16837594 | C2 | semidirect |
| 5. #16837426 | C2 | semidirect |
| 6. #16837407 | C2 | semidirect |
| 7. C2×#127×C59 | C2 | semidirect |
| 10. C2×#11745670 | C22 | semidirect |
| 11. C2×#11745669 | C22 | semidirect |
| 13. C4×Dic118 | C22 | semidirect |
| 14. C4×D236 | C22 | semidirect |
| 19. C4⋊(C59⋊C8) | C22 | semidirect |
| 20. #14273648 | C22 | semidirect |
| 39. #11745685 | D4 | semidirect |
| 78. D236 | C2×D4 | semidirect |
| 82. Dic118 | C2×D4 | semidirect |
| 94. C4×C59 | AGL(1,ℤ/8) | semidirect |
| 106. C2×#127 | D59 | semidirect |
| 112. C59 | #3038 | semidirect |
| 201. C4 | #14273753 | semidirect |