Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
346 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 59 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. #13116786 | C2 | semidirect |
| 3. #13116123 | C2 | semidirect |
| 4. #13112830 | C2 | semidirect |
| 5. #13112827 | C2 | semidirect |
| 6. #13112787 | C2 | semidirect |
| 7. C13×#3256 | C2 | semidirect |
| 117. #3256 | D13 | semidirect |
| 286. C13 | #12175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116786 | 2 |
| #13116781 | 2 |
| #13116123 | 2 |
| #13112830 | 2 |
| #13112827 | 2 |
| #13112787 | 2 |
| C13×#3256 | 2 |
| #12175 | 13 |