Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
162 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 40 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. #13129950 | C2 | semidirect |
| 2. #13129894 | C2 | semidirect |
| 5. C2×C13×D16 | C4 | semidirect |
| 10. #11718096 | C4 | semidirect |
| 61. C2×D16 | #261 | semidirect |
| 116. C13 | #7418 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129950 | 2 |
| #13129894 | 2 |
| #13116919 | 2 |
| #7418 | 13 |