Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
222 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 81 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. #16837429 | C2 | semidirect |
| 4. C2×#14273637 | C2 | semidirect |
| 5. #16837167 | C2 | semidirect |
| 6. #16837161 | C2 | semidirect |
| 19. #103×C59 | C4 | semidirect |
| 20. #102×C59 | C4 | semidirect |
| 98. C59 | #1938 | semidirect |
| 108. #103 | Dic59 | semidirect |
| 109. #102 | Dic59 | semidirect |