Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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. #16838109 | C2 | semidirect |
| 2. #16837798 | C2 | semidirect |
| 3. #16837732 | C2 | semidirect |
| 4. #16837718 | C2 | semidirect |
| 5. #16837692 | C2 | semidirect |
| 6. #16837684 | C2 | semidirect |
| 7. #16837629 | C2 | semidirect |
| 8. C4×#11745670 | C2 | semidirect |
| 9. D4×C59⋊C8 | C2 | semidirect |
| 10. C2×#14273658 | C2 | semidirect |
| 80. D4×C59 | SD16 | semidirect |
| 100. C59⋊C8 | #41 | semidirect |
| 135. C59 | #3335 | semidirect |
| 207. D4 | #11745670 | semidirect |