Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 3. #13113564 | C2 | semidirect |
| 5. #13113430 | C2 | semidirect |
| 6. #13112707 | C2 | semidirect |
| 7. C13×#1569 | C2 | semidirect |
| 125. #1569 | D13 | semidirect |
| 302. C13 | #10498 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125841 | 2 |
| #13115683 | 2 |
| #13113564 | 2 |
| #13113433 | 2 |
| #13113430 | 2 |
| #13112707 | 2 |
| C13×#1569 | 2 |
| #10498 | 13 |