Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
408 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 55 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. #14536491 | C2 | semidirect |
| 2. #14530010 | C2 | semidirect |
| 3. #14527753 | C2 | semidirect |
| 4. #14526815 | C2 | semidirect |
| 5. #14526787 | C2 | semidirect |
| 6. #14526727 | C2 | semidirect |
| 256. C17 | #12145 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14536491 | 2 |
| #14530010 | 2 |
| #14527753 | 2 |
| #14526815 | 2 |
| #14526787 | 2 |
| #14526727 | 2 |
| C17×#1598 | 2 |
| #12145 | 17 |