Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
732 conjugacy classes of subgroups; only the 259 normal subgroups are shown.
This group has 732 conjugacy classes of subgroups — too many to draw. Only its 259 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 |
|---|---|---|
| 3. #13115393 | C2 | semidirect |
| 4. #13114979 | C2 | semidirect |
| 5. #13114710 | C2 | semidirect |
| 7. C42×C8×C13 | C2 | semidirect |
| 66. C42×C13 | M16 | semidirect |
| 84. C42×C8 | D13 | semidirect |
| 107. C8×C13 | #126 | semidirect |
| 195. C42 | #6094 | semidirect |
| 196. C13 | #21666 | semidirect |
| 221. C8 | #88130 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88130 | 2 |
| #13115442 | 2 |
| #13115393 | 2 |
| #13114979 | 2 |
| #13114710 | 2 |
| #13114619 | 2 |
| C42×C8×C13 | 2 |
| #21666 | 13 |