Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
486 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 486 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. C2×#11718155 | C2 | semidirect |
| 4. #13114883 | C2 | semidirect |
| 5. #13112951 | C2 | semidirect |
| 6. #13112950 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 50. C13×M32 | D4 | semidirect |
| 62. #88052 | D4 | semidirect |
| 116. C2×#361 | D13 | semidirect |
| 215. M32 | C22⋊D13 | semidirect |
| 280. C13 | #13079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127938 | 2 |
| #13124480 | 2 |
| C2×#11718155 | 2 |
| #13114883 | 2 |
| #13112951 | 2 |
| #13112950 | 2 |
| C2×C13×#361 | 2 |
| #13079 | 13 |