Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 3. #13113041 | C2 | semidirect |
| 4. #13113029 | C2 | semidirect |
| 6. #13112972 | C2 | semidirect |
| 7. C13×#2176 | C2 | semidirect |
| 15. #11718114 | C4 | semidirect |
| 16. #11718113 | C4 | semidirect |
| 61. #2176 | D13 | semidirect |
| 141. C13 | #13657 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117154 | 2 |
| #13116723 | 2 |
| #13113041 | 2 |
| #13113029 | 2 |
| #13113022 | 2 |
| #13112972 | 2 |
| C13×#2176 | 2 |
| #13657 | 13 |