Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
178 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 9. #11718221 | C4 | semidirect |
| 10. #11718214 | C4 | semidirect |
| 12. C13×#367 | C4 | semidirect |
| 13. #11718097 | C4 | semidirect |
| 76. #367 | #261 | semidirect |
| 126. C13 | #7477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊M64 | 2 |
| #13131187 | 2 |
| D13×#367 | 2 |
| #7477 | 13 |