Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
472 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 76 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. #13130740 | C2 | semidirect |
| 3. #13130736 | C2 | semidirect |
| 5. #13129738 | C2 | semidirect |
| 6. #13129707 | C2 | semidirect |
| 20. C13×#480 | C4 | semidirect |
| 21. #11718694 | C4 | semidirect |
| 22. #11718632 | C4 | semidirect |
| 28. #11718382 | C4 | semidirect |
| 210. #480 | #261 | semidirect |
| 377. C13 | #9521 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131705 | 2 |
| #13130740 | 2 |
| #13130736 | 2 |
| #13130252 | 2 |
| #13129738 | 2 |
| #13129707 | 2 |
| #13124755 | 2 |
| #9521 | 13 |