Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13127938 | C2 | semidirect |
| 3. #13116552 | C2 | semidirect |
| 4. #13114879 | C2 | semidirect |
| 5. #13112938 | C2 | semidirect |
| 6. #13112937 | C2 | semidirect |
| 7. C13×#2140 | C2 | semidirect |
| 14. #11718820 | C4 | semidirect |
| 51. C2×C13×C16 | D4 | semidirect |
| 61. C2×#6090 | D4 | semidirect |
| 115. #2140 | D13 | semidirect |
| 219. C2×C16 | C22⋊D13 | semidirect |
| 280. C13 | #13074 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127938 | 2 |
| #13124480 | 2 |
| #13116552 | 2 |
| #13114879 | 2 |
| #13112938 | 2 |
| #13112937 | 2 |
| C13×#2140 | 2 |
| #13074 | 13 |