Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13116455 | C2 | semidirect |
| 3. #13114885 | C2 | semidirect |
| 4. #13112830 | C2 | semidirect |
| 5. #13112828 | C2 | semidirect |
| 6. #13112826 | C2 | semidirect |
| 7. C13×#1342 | C2 | semidirect |
| 125. #1342 | D13 | semidirect |
| 301. C13 | #11872 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124500 | 2 |
| #13116455 | 2 |
| #13114885 | 2 |
| #13112830 | 2 |
| #13112828 | 2 |
| #13112826 | 2 |
| C13×#1342 | 2 |
| #11872 | 13 |