Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
458 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 458 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 |
|---|---|---|
| 2. #13123923 | C2 | semidirect |
| 3. #13114669 | C2 | semidirect |
| 5. #13112736 | C2 | semidirect |
| 6. #13112692 | C2 | semidirect |
| 12. #11718752 | C4 | semidirect |
| 13. #11718752 | C4 | semidirect |
| 14. #11718736 | C4 | semidirect |
| 15. #11718736 | C4 | semidirect |
| 336. C13 | #9164 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124954 | 2 |
| #13123923 | 2 |
| #13114669 | 2 |
| #13113447 | 2 |
| #13112736 | 2 |
| #13112692 | 2 |
| C13×#1502 | 2 |
| #9164 | 13 |