Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
812 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13118490 | C2 | semidirect |
| 3. #13115673 | C2 | semidirect |
| 4. #13114771 | C2 | semidirect |
| 5. #13113405 | C2 | semidirect |
| 6. #13112682 | C2 | semidirect |
| 7. C2×C13×#448 | C2 | semidirect |
| 147. C2×#448 | D13 | semidirect |
| 387. C13 | #9948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125584 | 2 |
| #13118490 | 2 |
| #13115673 | 2 |
| #13114771 | 2 |
| #13113405 | 2 |
| #13112682 | 2 |
| C2×C13×#448 | 2 |
| #9948 | 13 |