Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14273760 | C2 | semidirect |
| 3. #16837973 | C2 | semidirect |
| 4. #16837883 | C2 | semidirect |
| 5. #16837623 | C2 | semidirect |
| 6. #16837616 | C2 | semidirect |
| 7. #16837611 | C2 | semidirect |
| 8. #16837606 | C2 | semidirect |
| 9. #16837430 | C2 | semidirect |
| 10. C2×#14273650 | C2 | semidirect |
| 11. C59×#417 | C2 | semidirect |
| 156. #417 | D59 | semidirect |
| 158. C59 | #3046 | semidirect |