Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
304 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 73 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. Q8×Dic52 | C2 | semidirect |
| 4. #13112895 | C2 | semidirect |
| 5. Q8⋊#6090 | C2 | semidirect |
| 6. #13112799 | C2 | semidirect |
| 82. Dic52 | SD16 | semidirect |
| 94. Q8×C13 | SD32 | semidirect |
| 211. C13 | #12354 | semidirect |
| 218. Q8 | #88067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic52 | 2 |
| #13117059 | 2 |
| #13116873 | 2 |
| #13112895 | 2 |
| Q8⋊#6090 | 2 |
| #13112799 | 2 |
| C13×#1668 | 2 |
| #12354 | 13 |