Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
438 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 76 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. #14545609 | C2 | semidirect |
| 2. #14544260 | C2 | semidirect |
| 3. C2×#11763664 | C2 | semidirect |
| 4. #14544054 | C2 | semidirect |
| 5. #14543679 | C2 | semidirect |
| 6. #14543623 | C2 | semidirect |
| 300. C17 | #9265 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545609 | 2 |
| #14544260 | 2 |
| C2×#11763664 | 2 |
| #14544054 | 2 |
| #14543679 | 2 |
| #14543623 | 2 |
| #14539746 | 2 |
| #9265 | 17 |