Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
484 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 82 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. #135×#595 | C2 | semidirect |
| 2. #14545105 | C2 | semidirect |
| 3. #14545098 | C2 | semidirect |
| 4. #14544937 | C2 | semidirect |
| 5. #14543865 | C2 | semidirect |
| 6. #14543827 | C2 | semidirect |
| 24. #11763252 | C4 | semidirect |
| 25. #11763249 | C4 | semidirect |
| 27. #11763245 | C4 | semidirect |
| 32. C17×#509 | C4 | semidirect |
| 45. C2×D8×C17 | C2×C4 | semidirect |
| 58. C2×Dic68 | C2×C4 | semidirect |
| 77. C17×M32 | C2×C4 | semidirect |
| 82. #10587483 | C2×C4 | semidirect |
| 227. #509 | #595 | semidirect |
| 268. C2×D8 | C2×#595 | semidirect |
| 291. M32 | C2×#595 | semidirect |
| 305. C17 | #13027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #135×#595 | 2 |
| #14545105 | 2 |
| #14545098 | 2 |
| #14544937 | 2 |
| #14543865 | 2 |
| #14543827 | 2 |
| #14541916 | 2 |
| #13027 | 17 |