Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 201 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 201 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. #13115551 | C2 | semidirect |
| 4. #13115390 | C2 | semidirect |
| 6. #13114981 | C2 | semidirect |
| 7. C13×#1843 | C2 | semidirect |
| 79. #1843 | D13 | semidirect |
| 188. C13 | #23381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118134 | 2 |
| #13115551 | 2 |
| #13115441 | 2 |
| #13115390 | 2 |
| #13115017 | 2 |
| #13114981 | 2 |
| C13×#1843 | 2 |
| #23381 | 13 |