Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 76 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. D13⋊M64 | C2 | semidirect |
| 2. #13131187 | C2 | semidirect |
| 3. #13129989 | C2 | semidirect |
| 7. C2×C13×D16 | C4 | semidirect |
| 11. #11718573 | C4 | semidirect |
| 13. C2×Dic104 | C4 | semidirect |
| 16. #11718222 | C22 | semidirect |
| 18. #11718214 | C22 | semidirect |
| 107. C2×D16 | #261 | semidirect |
| 185. C13 | #13622 | 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 |
| #13129989 | 2 |
| C2×#11718573 | 2 |
| #13622 | 13 |