Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
540 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. C2×#11718087 | C2 | semidirect |
| 3. #13116551 | C2 | semidirect |
| 4. #13112918 | C2 | semidirect |
| 5. C13×#1945 | C2 | semidirect |
| 37. C13×#107 | D4 | semidirect |
| 80. #1945 | D13 | semidirect |
| 153. #107 | D52 | semidirect |
| 194. C13 | #13413 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718356 | 2 |
| C2×#11718087 | 2 |
| #13116551 | 2 |
| #13112918 | 2 |
| C13×#1945 | 2 |
| #13413 | 13 |