Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 2. C2×#11718087 | C2 | semidirect |
| 3. #13116572 | C2 | semidirect |
| 4. #13116553 | C2 | semidirect |
| 5. #13116440 | C2 | semidirect |
| 6. #13114961 | C2 | semidirect |
| 7. C13×#2143 | C2 | semidirect |
| 14. #11718852 | C4 | semidirect |
| 16. #11718812 | C4 | semidirect |
| 57. C2×C13×C16 | D4 | semidirect |
| 65. #88052 | D4 | semidirect |
| 121. #2143 | D13 | semidirect |
| 228. C2×C16 | C22⋊D13 | semidirect |
| 291. C13 | #13215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125323 | 2 |
| C2×#11718087 | 2 |
| #13116572 | 2 |
| #13116553 | 2 |
| #13116440 | 2 |
| #13114961 | 2 |
| C13×#2143 | 2 |
| #13215 | 13 |