Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
826 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 826 conjugacy classes of subgroups — too many to draw. Only its 152 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. #13129931 | C2 | semidirect |
| 6. C22×C13×C4⋊C4 | C4 | semidirect |
| 7. C2×#88180 | C4 | semidirect |
| 10. #11719116 | C4 | semidirect |
| 15. #11718635 | C4 | semidirect |
| 42. #88107 | C2×C4 | semidirect |
| 141. C22×C4⋊C4 | #261 | semidirect |
| 256. C13 | #12583 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719116 | 2 |
| #13129931 | 2 |
| #13117429 | 2 |
| #12583 | 13 |