Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
314 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 314 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. #13127229 | C2 | semidirect |
| 2. #13117060 | C2 | semidirect |
| 3. #13116877 | C2 | semidirect |
| 5. #13112893 | C2 | semidirect |
| 6. #13112801 | C2 | semidirect |
| 7. C13×D4⋊C16 | C2 | semidirect |
| 93. D4⋊C16 | D13 | semidirect |
| 97. D4×C13 | SD32 | semidirect |
| 220. C13 | #12342 | semidirect |
| 232. D4 | #88040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127229 | 2 |
| #13117060 | 2 |
| #13116877 | 2 |
| #13114191 | 2 |
| #13112893 | 2 |
| #13112801 | 2 |
| C13×D4⋊C16 | 2 |
| #12342 | 13 |