Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
586 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 586 conjugacy classes of subgroups — too many to draw. Only its 95 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×#11763895 | C2 | semidirect |
| 4. #14545795 | C2 | semidirect |
| 54. C17×#123 | C8 | semidirect |
| 55. #10587621 | C8 | semidirect |
| 56. #10587615 | C8 | semidirect |
| 59. #10587572 | C8 | semidirect |
| 90. C22×C4×C17 | C2×C8 | semidirect |
| 93. C22×Dic17 | C2×C8 | semidirect |
| 117. C22⋊C4×C17 | C2×C8 | semidirect |
| 119. C22⋊Dic17 | C2×C8 | semidirect |
| 259. #123 | #3633 | semidirect |
| 289. C17 | #9108 | semidirect |
| 319. C22×C4 | C2×#3633 | semidirect |
| 344. C22⋊C4 | C2×#3633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14546026 | 2 |
| #14545897 | 2 |
| C2×#11763895 | 2 |
| #14545795 | 2 |
| #14545270 | 2 |
| #9108 | 17 |