Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
304 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 304 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. Q16×Dic26 | C2 | semidirect |
| 4. #13112893 | C2 | semidirect |
| 5. #13112814 | C2 | semidirect |
| 6. #13112800 | C2 | semidirect |
| 62. C13×Q16 | SD16 | semidirect |
| 111. Dic26 | SD32 | semidirect |
| 188. Q16 | #6105 | semidirect |
| 211. C13 | #12354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×Dic26 | 2 |
| #13117059 | 2 |
| #13114193 | 2 |
| #13112893 | 2 |
| #13112814 | 2 |
| #13112800 | 2 |
| C13×#2207 | 2 |
| #12354 | 13 |