Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
412 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #13113562 | C2 | semidirect |
| 5. #13112747 | C2 | semidirect |
| 6. #13112708 | C2 | semidirect |
| 7. C13×#1997 | C2 | semidirect |
| 129. #1997 | D13 | semidirect |
| 307. C13 | #9337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125863 | 2 |
| #13124003 | 2 |
| #13113562 | 2 |
| #13113441 | 2 |
| #13112747 | 2 |
| #13112708 | 2 |
| C13×#1997 | 2 |
| #9337 | 13 |