Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 420 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. #13130718 | C2 | semidirect |
| 3. #13129924 | C2 | semidirect |
| 5. C2×#88155 | C4 | semidirect |
| 10. C2×C13×#97 | C4 | semidirect |
| 11. #11718771 | C4 | semidirect |
| 13. #11718585 | C4 | semidirect |
| 130. C2×#97 | #261 | semidirect |
| 221. C13 | #12808 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131109 | 2 |
| #13130718 | 2 |
| #13129924 | 2 |
| #13123555 | 2 |
| #12808 | 13 |