Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
376 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 80 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. C4⋊C8×#261 | C2 | semidirect |
| 3. #13130404 | C2 | semidirect |
| 5. #13129728 | C2 | semidirect |
| 6. #13129663 | C2 | semidirect |
| 23. C13×#331 | C4 | semidirect |
| 24. #11718136 | C4 | semidirect |
| 25. #11718078 | C4 | semidirect |
| 26. #11718074 | C4 | semidirect |
| 170. #331 | #261 | semidirect |
| 277. C13 | #9578 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130970 | 2 |
| C4⋊C8×#261 | 2 |
| #13130404 | 2 |
| #13130142 | 2 |
| #13129728 | 2 |
| #13129663 | 2 |
| #13113482 | 2 |
| #9578 | 13 |