Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
668 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13117926 | C2 | semidirect |
| 2. C2×#11718140 | C2 | semidirect |
| 4. #13112962 | C2 | semidirect |
| 10. C13×#456 | C4 | semidirect |
| 170. #456 | Dic13 | semidirect |
| 299. C13 | #13058 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117926 | 2 |
| C2×#11718140 | 2 |
| #13114795 | 2 |
| #13112962 | 2 |
| C2×C13×#456 | 2 |
| #13058 | 13 |