Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
770 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 104 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. #13130563 | C2 | semidirect |
| 2. C2×#11718240 | C2 | semidirect |
| 3. C2×#11718292 | C2 | semidirect |
| 4. #13130012 | C2 | semidirect |
| 6. C2×#88194 | C4 | semidirect |
| 17. C13×#390 | C4 | semidirect |
| 18. #11718637 | C4 | semidirect |
| 21. #11718600 | C4 | semidirect |
| 63. #88111 | D4 | semidirect |
| 214. #390 | #261 | semidirect |
| 378. C13 | #9684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130563 | 2 |
| C2×#11718240 | 2 |
| C2×#11718292 | 2 |
| #13130012 | 2 |
| #13123180 | 2 |
| #9684 | 13 |