Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
528 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13114584 | C2 | semidirect |
| 4. #13112718 | C2 | semidirect |
| 17. C13×#329 | C4 | semidirect |
| 20. #11718132 | C4 | semidirect |
| 44. C13×#97 | C2×C4 | semidirect |
| 48. #88043 | C2×C4 | semidirect |
| 144. #329 | Dic13 | semidirect |
| 190. #97 | C2×Dic13 | semidirect |
| 239. C13 | #8224 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×Dic13 | 2 |
| #13114584 | 2 |
| C2×#11718132 | 2 |
| #13112718 | 2 |
| C2×C13×#329 | 2 |
| #8224 | 13 |