Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13116620 | C2 | semidirect |
| 3. #13113015 | C2 | semidirect |
| 4. C2×C13×M64 | C2 | semidirect |
| 10. C2×D208 | C4 | semidirect |
| 13. C2×C13×C32 | C22 | semidirect |
| 15. #11718096 | C22 | semidirect |
| 54. C2×M64 | D13 | semidirect |
| 80. C2×C32 | C2×D13 | semidirect |
| 133. C13 | #13617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| #13116620 | 2 |
| #13113015 | 2 |
| C2×C13×M64 | 2 |
| #13617 | 13 |