Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
738 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 3. #14528720 | C2 | semidirect |
| 4. #14526652 | C2 | semidirect |
| 10. #11762729 | C4 | semidirect |
| 11. #11762721 | C4 | semidirect |
| 111. C23×C17 | #103 | semidirect |
| 131. C2×C4×C17 | #103 | semidirect |
| 241. C17 | #9467 | semidirect |
| 294. C23 | #10587487 | semidirect |
| 328. C2×C4 | #10587487 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14532149 | 2 |
| #14528772 | 2 |
| #14528720 | 2 |
| #14526652 | 2 |
| C17×#2972 | 2 |
| #9467 | 17 |