Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
634 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 634 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13124296 | C2 | semidirect |
| 2. #13115629 | C2 | semidirect |
| 3. #13113287 | C2 | semidirect |
| 4. #13112711 | C2 | semidirect |
| 5. C13×#3245 | C2 | semidirect |
| 72. C2×D52 | D8 | semidirect |
| 96. #3245 | D13 | semidirect |
| 257. C13 | #10254 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124296 | 2 |
| #13115629 | 2 |
| #13113287 | 2 |
| #13112711 | 2 |
| C13×#3245 | 2 |
| #10254 | 13 |