Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
914 conjugacy classes of subgroups; only the 201 normal subgroups are shown.
This group has 914 conjugacy classes of subgroups — too many to draw. Only its 201 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 |
|---|---|---|
| 2. #14529080 | C2 | semidirect |
| 3. #14529075 | C2 | semidirect |
| 4. #14529075 | C2 | semidirect |
| 5. #14529075 | C2 | semidirect |
| 6. #14528929 | C2 | semidirect |
| 7. C17×#1840 | C2 | semidirect |
| 135. #1840 | D17 | semidirect |
| 206. C17 | #23358 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532065 | 2 |
| #14529080 | 2 |
| #14529075 | 2 |
| #14528929 | 2 |
| C17×#1840 | 2 |
| #23358 | 17 |