Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
186 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 52 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. #13131237 | C2 | semidirect |
| 2. #13129999 | C2 | semidirect |
| 3. #13129988 | C2 | semidirect |
| 4. C32×#261 | C2 | semidirect |
| 12. C13×Q64 | C4 | semidirect |
| 13. #11718113 | C4 | semidirect |
| 14. D416 | C4 | semidirect |
| 61. Q64 | #261 | semidirect |
| 104. C13 | #13655 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131237 | 2 |
| #13129999 | 2 |
| #13129988 | 2 |
| C32×#261 | 2 |
| #13117146 | 2 |
| #13655 | 13 |