Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 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. #13113559 | C2 | semidirect |
| 4. #13113558 | C2 | semidirect |
| 5. #13113446 | C2 | semidirect |
| 6. #13112746 | C2 | semidirect |
| 7. C13×#1530 | C2 | semidirect |
| 108. #1530 | D13 | semidirect |
| 263. C13 | #10525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126214 | 2 |
| #13114977 | 2 |
| #13113559 | 2 |
| #13113558 | 2 |
| #13113446 | 2 |
| #13112746 | 2 |
| C13×#1530 | 2 |
| #10525 | 13 |