Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 330 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. #13117065 | C2 | semidirect |
| 2. #13116881 | C2 | semidirect |
| 3. #13114201 | C2 | semidirect |
| 4. #13112891 | C2 | semidirect |
| 5. #13112797 | C2 | semidirect |
| 6. D4⋊#6090 | C2 | semidirect |
| 103. D4×C13 | SD32 | semidirect |
| 223. C13 | #12344 | semidirect |
| 234. D4 | #88067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117065 | 2 |
| #13116881 | 2 |
| #13114201 | 2 |
| #13112891 | 2 |
| #13112797 | 2 |
| D4⋊#6090 | 2 |
| C13×#3334 | 2 |
| #12344 | 13 |