Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
924 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 147 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. #13115826 | C2 | semidirect |
| 2. #13113571 | C2 | semidirect |
| 3. #13113428 | C2 | semidirect |
| 4. #13113275 | C2 | semidirect |
| 300. C13 | #8471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115826 | 2 |
| #13113571 | 2 |
| #13113428 | 2 |
| #13113275 | 2 |
| C13×#3499 | 2 |
| #8471 | 13 |