Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
474 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 25. #11763101 | C4 | semidirect |
| 26. #11763020 | C4 | semidirect |
| 27. #11763019 | C4 | semidirect |
| 32. C17×#477 | C4 | semidirect |
| 109. C4×#595 | Q16 | semidirect |
| 217. #477 | #595 | semidirect |
| 291. C17 | #9236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545243 | 2 |
| #14544969 | 2 |
| #14544168 | 2 |
| #14544113 | 2 |
| #14543681 | 2 |
| #14543611 | 2 |
| #14538825 | 2 |
| #9236 | 17 |