Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
226 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13116744 | C2 | semidirect |
| 3. #13112899 | C2 | semidirect |
| 4. #13112814 | C2 | semidirect |
| 6. #13112752 | C2 | semidirect |
| 66. C13×C16 | SD16 | semidirect |
| 172. C16 | #6105 | semidirect |
| 173. C13 | #12049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116744 | 2 |
| C8×#6105 | 2 |
| #13112899 | 2 |
| #13112814 | 2 |
| D4⋊#6090 | 2 |
| #13112752 | 2 |
| D4×C13×C16 | 2 |
| #12049 | 13 |