Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
328 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 74 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×#11718217 | C2 | semidirect |
| 4. #13130941 | C2 | semidirect |
| 5. #13129910 | C2 | semidirect |
| 6. #13129901 | C2 | semidirect |
| 21. C13×#357 | C4 | semidirect |
| 22. #11718154 | C4 | semidirect |
| 23. #11718095 | C4 | semidirect |
| 24. #11718084 | C4 | semidirect |
| 155. #357 | #261 | semidirect |
| 256. C13 | #13153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718275 | 2 |
| C2×#11718217 | 2 |
| #13130991 | 2 |
| #13130941 | 2 |
| #13129910 | 2 |
| #13129901 | 2 |
| #13116545 | 2 |
| #13153 | 13 |