Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
942 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 942 conjugacy classes of subgroups — too many to draw. Only its 171 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. #14539779 | C2 | semidirect |
| 2. #14539132 | C2 | semidirect |
| 3. #14528107 | C2 | semidirect |
| 4. #14528077 | C2 | semidirect |
| 5. #14527422 | C2 | semidirect |
| 6. #14527395 | C2 | semidirect |
| 7. C17×#3548 | C2 | semidirect |
| 143. #3548 | D17 | semidirect |
| 235. C17 | #19061 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14539779 | 2 |
| #14539132 | 2 |
| #14528107 | 2 |
| #14528077 | 2 |
| #14527422 | 2 |
| #14527395 | 2 |
| C17×#3548 | 2 |
| #19061 | 17 |