Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
620 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 1. #14540172 | C2 | semidirect |
| 2. #14539727 | C2 | semidirect |
| 4. #14529623 | C2 | semidirect |
| 5. #14527378 | C2 | semidirect |
| 6. #14527200 | C2 | semidirect |
| 7. C17×#1299 | C2 | semidirect |
| 175. #1299 | D17 | semidirect |
| 272. C17 | #10105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14540172 | 2 |
| #14539727 | 2 |
| #14539236 | 2 |
| #14529623 | 2 |
| #14527378 | 2 |
| #14527200 | 2 |
| C17×#1299 | 2 |
| #10105 | 17 |