Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
926 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 926 conjugacy classes of subgroups — too many to draw. Only its 155 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. #13129250 | C2 | semidirect |
| 2. #13126030 | C2 | semidirect |
| 3. #13114145 | C2 | semidirect |
| 4. #13114132 | C2 | semidirect |
| 5. #13113471 | C2 | semidirect |
| 6. #13113450 | C2 | semidirect |
| 301. C13 | #19054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129250 | 2 |
| #13126030 | 2 |
| #13114145 | 2 |
| #13114132 | 2 |
| #13113471 | 2 |
| #13113450 | 2 |
| C13×#3150 | 2 |
| #19054 | 13 |