Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
654 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 654 conjugacy classes of subgroups — too many to draw. Only its 155 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. C2×#11762558 | C2 | semidirect |
| 4. #14526625 | C2 | semidirect |
| 5. C17×#2369 | C2 | semidirect |
| 9. #11763183 | C4 | semidirect |
| 75. C4⋊C4×C17 | SD16 | semidirect |
| 126. #2369 | D17 | semidirect |
| 198. C17 | #9063 | semidirect |
| 232. C4⋊C4 | #63230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763183 | 2 |
| #14529711 | 2 |
| C2×#11762558 | 2 |
| #14526625 | 2 |
| C17×#2369 | 2 |
| #9063 | 17 |