Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
384 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 384 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×#14273718 | C2 | semidirect |
| 3. #16837712 | C2 | semidirect |
| 4. #16837708 | C2 | semidirect |
| 5. #16837705 | C2 | semidirect |
| 6. #16837701 | C2 | semidirect |
| 7. #16837445 | C2 | semidirect |
| 8. #16837425 | C2 | semidirect |
| 11. C59×#428 | C2 | semidirect |
| 143. #428 | D59 | semidirect |
| 147. C59 | #3080 | semidirect |