Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
726 conjugacy classes of subgroups; only the 293 normal subgroups are shown.
This group has 726 conjugacy classes of subgroups — too many to draw. Only its 293 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×#14273734 | C2 | semidirect |
| 2. #16837885 | C2 | semidirect |
| 3. #16837411 | C2 | semidirect |
| 4. #16837403 | C2 | semidirect |
| 5. #16837398 | C2 | semidirect |
| 6. C2×#14273651 | C2 | semidirect |
| 21. 2−1+4×C59 | C4 | semidirect |
| 30. #41×C59 | C2×C4 | semidirect |
| 35. C2×Q8×C59 | C2×C4 | semidirect |
| 102. C59 | #2898 | semidirect |
| 104. 2−1+4 | Dic59 | semidirect |
| 125. #41 | C2×Dic59 | semidirect |
| 130. C2×Q8 | C2×Dic59 | semidirect |