Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14273758 | C2 | semidirect |
| 3. #16837882 | C2 | semidirect |
| 4. #16837621 | C2 | semidirect |
| 5. #16837614 | C2 | semidirect |
| 6. #16837609 | C2 | semidirect |
| 7. #16837604 | C2 | semidirect |
| 8. #16837429 | C2 | semidirect |
| 9. #16837403 | C2 | semidirect |
| 10. C2×#14273651 | C2 | semidirect |
| 11. C59×#536 | C2 | semidirect |
| 149. #536 | D59 | semidirect |
| 158. C59 | #3046 | semidirect |