Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
346 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13114976 | C2 | semidirect |
| 4. #13112696 | C2 | semidirect |
| 5. #13112695 | C2 | semidirect |
| 6. #13112680 | C2 | semidirect |
| 234. C13 | #10634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115661 | 2 |
| #13114976 | 2 |
| #13113504 | 2 |
| #13112696 | 2 |
| #13112695 | 2 |
| #13112680 | 2 |
| C13×#1545 | 2 |
| #10634 | 13 |