Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
384 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 82 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. C2×#11718220 | C2 | semidirect |
| 4. #13130953 | C2 | semidirect |
| 5. #13129905 | C2 | semidirect |
| 6. #13129885 | C2 | semidirect |
| 25. C13×#359 | C4 | semidirect |
| 26. #11718159 | C4 | semidirect |
| 27. #11718102 | C4 | semidirect |
| 28. #11718089 | C4 | semidirect |
| 181. #359 | #261 | semidirect |
| 295. C13 | #12948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131615 | 2 |
| C2×#11718220 | 2 |
| D13⋊#360 | 2 |
| #13130953 | 2 |
| #13129905 | 2 |
| #13129885 | 2 |
| #13116562 | 2 |
| #12948 | 13 |