Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
290 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 76 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. D13⋊M64 | C2 | semidirect |
| 2. D13⋊#368 | C2 | semidirect |
| 3. #13129988 | C2 | semidirect |
| 17. #11718223 | C22 | semidirect |
| 19. D13⋊C32 | C22 | semidirect |
| 184. C13 | #13620 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊M64 | 2 |
| D13⋊#368 | 2 |
| #13129988 | 2 |
| C2×#11718580 | 2 |
| #13620 | 13 |