Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 2. #13116624 | C2 | semidirect |
| 4. #13115622 | C2 | semidirect |
| 5. #13112933 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 21. C13×#361 | C4 | semidirect |
| 45. C13×M32 | C2×C4 | semidirect |
| 48. C13×#108 | C2×C4 | semidirect |
| 157. #361 | Dic13 | semidirect |
| 198. M32 | C2×Dic13 | semidirect |
| 204. #108 | C2×Dic13 | semidirect |
| 263. C13 | #12940 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123688 | 2 |
| #13116624 | 2 |
| C2×#11718154 | 2 |
| #13115622 | 2 |
| #13112933 | 2 |
| #13112926 | 2 |
| C2×C13×#361 | 2 |
| #12940 | 13 |