Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
1328 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 1328 conjugacy classes of subgroups — too many to draw. Only its 251 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. #14543496 | C2 | semidirect |
| 3. #14537481 | C2 | semidirect |
| 4. #14529200 | C2 | semidirect |
| 5. #14529069 | C2 | semidirect |
| 6. #14528587 | C2 | semidirect |
| 7. C17×#1791 | C2 | semidirect |
| 12. C22×C8×D17 | C22 | semidirect |
| 18. #11762835 | C22 | semidirect |
| 20. #11762772 | C22 | semidirect |
| 21. #11762767 | C22 | semidirect |
| 22. #11762581 | C22 | semidirect |
| 47. C2×#63223 | D4 | semidirect |
| 50. C22×#3622 | D4 | semidirect |
| 133. #1791 | D17 | semidirect |
| 206. C17 | #21483 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14543496 | 2 |
| #14538176 | 2 |
| #14537481 | 2 |
| #14529200 | 2 |
| #14529069 | 2 |
| #14528587 | 2 |
| C17×#1791 | 2 |
| #21483 | 17 |