Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
274 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13116876 | C2 | semidirect |
| 3. #13112906 | C2 | semidirect |
| 4. #13112881 | C2 | semidirect |
| 5. C8×C13×Q16 | C2 | semidirect |
| 41. C13×Q16 | D8 | semidirect |
| 61. C8×Q16 | D13 | semidirect |
| 81. C8×C13 | SD32 | semidirect |
| 133. Q16 | D104 | semidirect |
| 151. C13 | #12425 | semidirect |
| 169. C8 | #88068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116876 | 2 |
| #13114451 | 2 |
| #13112906 | 2 |
| #13112881 | 2 |
| C8×C13×Q16 | 2 |
| #12425 | 13 |