Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13115305 | C2 | semidirect |
| 3. #13115018 | C2 | semidirect |
| 4. #13113356 | C2 | semidirect |
| 6. #13112713 | C2 | semidirect |
| 357. C13 | #10558 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115305 | 2 |
| #13115300 | 2 |
| #13115018 | 2 |
| #13113356 | 2 |
| #13113352 | 2 |
| #13112713 | 2 |
| C13×#3187 | 2 |
| #10558 | 13 |