Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
166 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 63 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. #16837529 | C2 | semidirect |
| 4. #16837152 | C2 | semidirect |
| 5. #16837134 | C2 | semidirect |
| 6. C8×C59⋊C8 | C2 | semidirect |
| 59. C59⋊C8 | M16 | semidirect |
| 60. C59⋊C8 | SD16 | semidirect |
| 85. C59 | #1590 | semidirect |