Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
230 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 230 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. #16837430 | C2 | semidirect |
| 5. C2×C8×Dic59 | C2 | semidirect |
| 6. #16837163 | C2 | semidirect |
| 7. C59×#341 | C2 | semidirect |
| 14. #14273652 | C4 | semidirect |
| 15. #14273649 | C4 | semidirect |
| 96. #341 | D59 | semidirect |
| 98. C59 | #1937 | semidirect |