Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
316 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13116630 | C2 | semidirect |
| 5. #13112949 | C2 | semidirect |
| 6. #13112918 | C2 | semidirect |
| 7. C4×C13×#108 | C2 | semidirect |
| 20. #11718088 | C4 | semidirect |
| 21. #11718087 | C4 | semidirect |
| 100. C4×#108 | D13 | semidirect |
| 236. C13 | #13137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116630 | 2 |
| #13116583 | 2 |
| #13116563 | 2 |
| #13115724 | 2 |
| #13112949 | 2 |
| #13112918 | 2 |
| C4×C13×#108 | 2 |
| #13137 | 13 |