Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
506 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 506 conjugacy classes of subgroups — too many to draw. Only its 167 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. #13127842 | C2 | semidirect |
| 2. #13117065 | C2 | semidirect |
| 3. #13116975 | C2 | semidirect |
| 5. Q8×#6090 | C2 | semidirect |
| 81. Q8×C13 | SD32 | semidirect |
| 174. C13 | #33926 | semidirect |
| 179. Q8 | #88067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127842 | 2 |
| #13117065 | 2 |
| #13116975 | 2 |
| #13116881 | 2 |
| Q8×#6090 | 2 |
| C4×#88067 | 2 |
| Q8×C13×D8 | 2 |
| #33926 | 13 |