Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
512 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 2. #16837720 | C2 | direct (N × H) |
| 3. C2×#14273658 | C2 | semidirect |
| 4. C2×#14273647 | C2 | semidirect |
| 5. C2×C22⋊(C59⋊C8) | C2 | semidirect |
| 6. C22×C4⋊C4×C59 | C2 | semidirect |
| 14. #14273658 | C22 | semidirect |
| 15. #14273647 | C22 | semidirect |
| 16. C22⋊(C59⋊C8) | C22 | semidirect |
| 22. C2×C4⋊C4×C59 | C22 | semidirect |
| 91. C2×C59 | #481 | semidirect |
| 97. C22×C4⋊C4 | D59 | semidirect |
| 102. C59 | C2×#481 | semidirect |
| 114. C2×C4⋊C4 | C2×D59 | semidirect |
| 187. C2 | #16837720 | direct (N × H) |