Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
752 conjugacy classes of subgroups.
The subgroup lattice has 602 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #13112964 | C2 | semidirect |
| 8. C22×#6099 | C4 | semidirect |
| 9. C22×#6099 | C4 | semidirect |
| 18. #11718898 | C4 | semidirect |
| 22. #11718895 | C4 | semidirect |
| 24. C2×#88076 | C4 | semidirect |
| 67. C2×#6099 | C2×C4 | semidirect |
| 70. C22×#1055 | C2×C4 | semidirect |
| 76. #88076 | C2×C4 | semidirect |
| 478. C13 | #12589 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718898 | 2 |
| #13123281 | 2 |
| #13112964 | 2 |
| C2×C13×#410 | 2 |
| #12589 | 13 |