Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13113335 | C2 | semidirect |
| 5. #13112738 | C2 | semidirect |
| 6. #13112694 | C2 | semidirect |
| 7. C13×#1518 | C2 | semidirect |
| 12. #11718748 | C4 | semidirect |
| 13. #11718745 | C4 | semidirect |
| 121. #1518 | D13 | semidirect |
| 308. C13 | #9177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124629 | 2 |
| #13117811 | 2 |
| #13113335 | 2 |
| #13113228 | 2 |
| #13112738 | 2 |
| #13112694 | 2 |
| C13×#1518 | 2 |
| #9177 | 13 |