Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
220 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 2. #14527682 | C2 | semidirect |
| 3. #14526855 | C2 | semidirect |
| 4. #14526747 | C2 | semidirect |
| 6. #14526701 | C2 | semidirect |
| 67. #63214 | M16 | semidirect |
| 149. C17 | #12084 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#10587498 | 2 |
| #14527682 | 2 |
| #14526855 | 2 |
| #14526747 | 2 |
| #14526745 | 2 |
| #14526701 | 2 |
| C17×#1589 | 2 |
| #12084 | 17 |