Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 508 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 |
|---|---|---|
| 1. #13119842 | C2 | semidirect |
| 4. #13112714 | C2 | semidirect |
| 5. #13112703 | C2 | semidirect |
| 6. #13112684 | C2 | semidirect |
| 28. C22×D4×C13 | Q8 | semidirect |
| 37. C2×C13×C4⋊C4 | Q8 | semidirect |
| 248. C22×D4 | Dic26 | semidirect |
| 266. C2×C4⋊C4 | Dic26 | semidirect |
| 355. C13 | #10374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13119842 | 2 |
| #13113404 | 2 |
| C2×#11718129 | 2 |
| #13112714 | 2 |
| #13112703 | 2 |
| #13112684 | 2 |
| C13×#1964 | 2 |
| #10374 | 13 |