Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11762637 | C2 | semidirect |
| 5. #14529569 | C2 | semidirect |
| 6. #14526893 | C2 | semidirect |
| 7. C17×#1379 | C2 | semidirect |
| 19. #11762617 | C4 | semidirect |
| 50. C2×C16×C17 | C2×C4 | semidirect |
| 55. #10587490 | C2×C4 | semidirect |
| 143. #1379 | D17 | semidirect |
| 209. C2×C16 | C4×D17 | semidirect |
| 222. C17 | #12946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14537661 | 2 |
| C2×#11762637 | 2 |
| C2×#11762617 | 2 |
| #14530497 | 2 |
| #14529569 | 2 |
| #14526893 | 2 |
| C17×#1379 | 2 |
| #12946 | 17 |