Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13115389 | C2 | semidirect |
| 5. #13115058 | C2 | semidirect |
| 6. #13112958 | C2 | semidirect |
| 7. C13×#2135 | C2 | semidirect |
| 131. #2135 | D13 | semidirect |
| 321. C13 | #13430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125703 | 2 |
| #13116527 | 2 |
| #13115389 | 2 |
| #13115381 | 2 |
| #13115058 | 2 |
| #13112958 | 2 |
| C13×#2135 | 2 |
| #13430 | 13 |