Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 3. #13129824 | C2 | semidirect |
| 6. C22×C13×Q16 | C4 | semidirect |
| 13. #11718849 | C4 | semidirect |
| 15. C2×#88058 | C4 | semidirect |
| 127. C22×Q16 | #261 | semidirect |
| 236. C13 | #11706 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131065 | 2 |
| #13130522 | 2 |
| #13129824 | 2 |
| C2×#11718849 | 2 |
| #11706 | 13 |