Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
348 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13114977 | C2 | semidirect |
| 3. #13113566 | C2 | semidirect |
| 6. #13112746 | C2 | semidirect |
| 7. C13×#1531 | C2 | semidirect |
| 106. #1531 | D13 | semidirect |
| 254. C13 | #10527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126219 | 2 |
| #13114977 | 2 |
| #13113566 | 2 |
| #13113559 | 2 |
| #13113446 | 2 |
| #13112746 | 2 |
| C13×#1531 | 2 |
| #10527 | 13 |