Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
240 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13116988 | C2 | semidirect |
| 4. #13112900 | C2 | semidirect |
| 5. #13112895 | C2 | semidirect |
| 7. C8×C13×Q16 | C2 | semidirect |
| 52. C13×Q16 | SD16 | semidirect |
| 74. C8×Q16 | D13 | semidirect |
| 159. Q16 | #6095 | semidirect |
| 178. C13 | #12419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116988 | 2 |
| #13116876 | 2 |
| #13114428 | 2 |
| #13112900 | 2 |
| #13112895 | 2 |
| #13112881 | 2 |
| C8×C13×Q16 | 2 |
| #12419 | 13 |