Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
432 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 107 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×C8×D59 | C2 | semidirect |
| 3. C2×#14273648 | C2 | semidirect |
| 4. #16837259 | C2 | semidirect |
| 5. #16837165 | C2 | semidirect |
| 6. #16837164 | C2 | semidirect |
| 7. C2×#102×C59 | C2 | semidirect |
| 15. #14273698 | C4 | semidirect |
| 50. C2×C8×C59 | D4 | semidirect |
| 61. C2×C59⋊C8 | D4 | semidirect |
| 127. C2×D59 | #102 | semidirect |
| 149. C2×#102 | D59 | semidirect |
| 153. C59 | #1893 | semidirect |
| 200. C2×C8 | C22⋊D59 | semidirect |