Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 4. #13112733 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 7. C13×#1571 | C2 | semidirect |
| 89. #1571 | D13 | semidirect |
| 232. C13 | #10637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114847 | 2 |
| #13114825 | 2 |
| #13113228 | 2 |
| #13112733 | 2 |
| #13112696 | 2 |
| #13112695 | 2 |
| C13×#1571 | 2 |
| #10637 | 13 |