Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1126 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 1126 conjugacy classes of subgroups — too many to draw. Only its 219 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 |
|---|---|---|
| 1. C2×#11719427 | C2 | semidirect |
| 4. #13113915 | C2 | direct (N × H) |
| 5. C2×#11718076 | C2 | semidirect |
| 6. C2×C13×#333 | C2 | semidirect |
| 13. #11719427 | C22 | semidirect |
| 25. C13×#333 | C22 | semidirect |
| 26. #11718076 | C22 | semidirect |
| 87. C2×Dic26 | SD16 | semidirect |
| 112. C2×#333 | D13 | semidirect |
| 141. Dic26 | C2×SD16 | semidirect |
| 162. #333 | C2×D13 | semidirect |
| 217. C2×C13 | #1623 | semidirect |
| 262. C13 | C2×#1623 | semidirect |
| 308. C2 | #13113915 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719427 | 2 |
| C2×#11718746 | 2 |
| C2×#11718509 | 2 |
| #13113915 | 2 |
| C2×#11718076 | 2 |
| C2×C13×#333 | 2 |
| C2×#1623 | 13 |