Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
184 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 184 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. #14545208 | C2 | semidirect |
| 2. #14545207 | C2 | semidirect |
| 3. #14543944 | C2 | semidirect |
| 4. #14543902 | C2 | semidirect |
| 5. #14543901 | C2 | semidirect |
| 6. #14543892 | C2 | semidirect |
| 134. C17 | #13648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545208 | 2 |
| #14545207 | 2 |
| #14543944 | 2 |
| #14543902 | 2 |
| #14543901 | 2 |
| #14543892 | 2 |
| #14530618 | 2 |
| #13648 | 17 |