Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
680 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 680 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13112857 | C2 | semidirect |
| 5. C23×Q8×C13 | C4 | semidirect |
| 10. C13×#393 | C4 | semidirect |
| 13. C2×C13×#95 | C4 | semidirect |
| 155. C23×Q8 | Dic13 | semidirect |
| 161. #393 | Dic13 | semidirect |
| 165. C2×#95 | Dic13 | semidirect |
| 288. C13 | #11808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114910 | 2 |
| #13113163 | 2 |
| #13112857 | 2 |
| C2×C13×#393 | 2 |
| #11808 | 13 |