Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13117093 | C2 | semidirect |
| 2. #13117091 | C2 | semidirect |
| 3. #13117088 | C2 | semidirect |
| 5. #13114442 | C2 | semidirect |
| 6. C8×#6090 | C2 | semidirect |
| 7. C13×#1709 | C2 | semidirect |
| 71. #1709 | D13 | semidirect |
| 163. C13 | #12518 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117093 | 2 |
| #13117091 | 2 |
| #13117088 | 2 |
| #13117085 | 2 |
| #13114442 | 2 |
| C8×#6090 | 2 |
| C13×#1709 | 2 |
| #12518 | 13 |