Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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. #16837450 | C2 | semidirect |
| 5. #16837174 | C2 | semidirect |
| 6. #16837162 | C2 | semidirect |
| 7. C4×M16×C59 | C2 | semidirect |
| 16. #14273645 | C4 | semidirect |
| 17. #14273643 | C4 | semidirect |
| 100. C4×M16 | D59 | semidirect |
| 103. C59 | #1932 | semidirect |