Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 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 |
|---|---|---|
| 2. C2×C4×Dic118 | C2 | semidirect |
| 3. #16837721 | C2 | semidirect |
| 4. #16837688 | C2 | semidirect |
| 5. #16837603 | C2 | semidirect |
| 6. #16837543 | C2 | semidirect |
| 7. C4×#11745660 | C2 | semidirect |
| 8. C59×#431 | C2 | semidirect |
| 68. C2×C4×C59 | SD16 | semidirect |
| 88. Dic118 | #41 | semidirect |
| 119. #431 | D59 | semidirect |
| 120. C59 | #3103 | semidirect |
| 194. C2×C4 | #11745660 | semidirect |