Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
644 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13114824 | C2 | semidirect |
| 2. #13113154 | C2 | semidirect |
| 3. #13112833 | C2 | semidirect |
| 6. C2×C13×#127 | C4 | semidirect |
| 10. C13×#392 | C4 | semidirect |
| 13. C4×C13×C4⋊C4 | C4 | semidirect |
| 159. C2×#127 | Dic13 | semidirect |
| 165. #392 | Dic13 | semidirect |
| 169. C4×C4⋊C4 | Dic13 | semidirect |
| 296. C13 | #11877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114824 | 2 |
| #13113154 | 2 |
| #13112833 | 2 |
| C13×#2541 | 2 |
| #11877 | 13 |