Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
346 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13117061 | C2 | semidirect |
| 2. #13116871 | C2 | semidirect |
| 3. #13114191 | C2 | semidirect |
| 4. #13112891 | C2 | semidirect |
| 5. #13112797 | C2 | semidirect |
| 6. D4⋊#6090 | C2 | semidirect |
| 7. C13×#3334 | C2 | semidirect |
| 89. #3334 | D13 | semidirect |
| 105. D4×C13 | D16 | semidirect |
| 231. C13 | #12340 | semidirect |
| 246. D4 | #88066 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117061 | 2 |
| #13116871 | 2 |
| #13114191 | 2 |
| #13112891 | 2 |
| #13112797 | 2 |
| D4⋊#6090 | 2 |
| C13×#3334 | 2 |
| #12340 | 13 |