Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
638 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 638 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 3. #14526666 | C2 | semidirect |
| 4. #14526665 | C2 | semidirect |
| 5. C17×#1295 | C2 | semidirect |
| 9. #11762864 | C4 | semidirect |
| 35. C17×#97 | C2×C4 | semidirect |
| 42. #10587474 | C2×C4 | semidirect |
| 106. #1295 | D17 | semidirect |
| 161. #97 | C4×D17 | semidirect |
| 165. C17 | #8030 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11762864 | 2 |
| D17×#382 | 2 |
| #14526666 | 2 |
| #14526665 | 2 |
| C17×#1295 | 2 |
| #8030 | 17 |