Finite Group DatabasebetaFinite Group DatabasebetaOrder 4352.
300 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 84 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. #14545121 | C2 | semidirect |
| 4. #14545007 | C2 | semidirect |
| 5. #14543839 | C2 | semidirect |
| 6. #14543835 | C2 | semidirect |
| 192. C17 | #13126 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14545121 | 2 |
| #14545026 | 2 |
| C2×#11763707 | 2 |
| #14545007 | 2 |
| #14543839 | 2 |
| #14543835 | 2 |
| #14528587 | 2 |
| #13126 | 17 |