Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 75 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. #16837444 | C2 | semidirect |
| 5. #16837357 | C2 | semidirect |
| 6. #16837170 | C2 | semidirect |
| 7. C59×#341 | C2 | semidirect |
| 18. #14273643 | C4 | semidirect |
| 107. #341 | D59 | semidirect |
| 108. C59 | #1931 | semidirect |