Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
490 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 490 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. #14537724 | C2 | semidirect |
| 4. #14527347 | C2 | semidirect |
| 5. #14526642 | C2 | semidirect |
| 6. #14526615 | C2 | semidirect |
| 9. #11763181 | C4 | semidirect |
| 10. #11763155 | C4 | semidirect |
| 90. C2×C8×C17 | SD16 | semidirect |
| 242. C17 | #9294 | semidirect |
| 273. C2×C8 | #63229 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539725 | 2 |
| #14537724 | 2 |
| #14527452 | 2 |
| #14527347 | 2 |
| #14526642 | 2 |
| #14526615 | 2 |
| C17×#1961 | 2 |
| #9294 | 17 |