Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 148 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 148 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 |
|---|---|---|
| 13. #11763671 | C4 | semidirect |
| 14. #11763670 | C4 | semidirect |
| 17. #11762560 | C4 | semidirect |
| 18. #11762559 | C4 | semidirect |
| 19. C17×#334 | C4 | semidirect |
| 97. C8×C17 | #97 | semidirect |
| 100. #3622 | #97 | semidirect |
| 133. #334 | #595 | semidirect |
| 163. C17 | #8273 | semidirect |
| 219. C8 | #10587532 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14544571 | 2 |
| C4×C8×#595 | 2 |
| #14544326 | 2 |
| #14543613 | 2 |
| D17×#334 | 2 |
| #8273 | 17 |