Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
200 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 63 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×#11718041 | C2 | semidirect |
| 2. #13116927 | C2 | semidirect |
| 4. #13113036 | C2 | semidirect |
| 5. #13113018 | C2 | semidirect |
| 6. #13113015 | C2 | semidirect |
| 7. C2×C13×M64 | C2 | semidirect |
| 39. C13×C32 | D4 | semidirect |
| 62. C2×M64 | D13 | semidirect |
| 129. C32 | C22⋊D13 | semidirect |
| 155. C13 | #13699 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718041 | 2 |
| #13116927 | 2 |
| #13116922 | 2 |
| #13113036 | 2 |
| #13113018 | 2 |
| #13113015 | 2 |
| C2×C13×M64 | 2 |
| #13699 | 13 |