Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
182 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 182 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 |
|---|---|---|
| 3. #14543950 | C2 | semidirect |
| 4. #14543949 | C2 | semidirect |
| 14. #11762643 | C4 | semidirect |
| 16. C32×D17 | C4 | semidirect |
| 17. C17×M64 | C4 | semidirect |
| 87. M64 | #595 | semidirect |
| 114. C17 | #13638 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11763738 | 2 |
| #14545135 | 2 |
| #14543950 | 2 |
| #14543949 | 2 |
| D17×M64 | 2 |
| #13638 | 17 |