Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
392 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13113439 | C2 | semidirect |
| 4. #13113193 | C2 | semidirect |
| 6. C8×#6099 | C2 | semidirect |
| 7. C13×#1568 | C2 | semidirect |
| 118. #1568 | D13 | semidirect |
| 290. C13 | #9789 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718358 | 2 |
| #13113439 | 2 |
| #13113435 | 2 |
| #13113193 | 2 |
| #13113189 | 2 |
| C8×#6099 | 2 |
| C13×#1568 | 2 |
| #9789 | 13 |