Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
242 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13116667 | C2 | semidirect |
| 3. #13112790 | C2 | semidirect |
| 4. C8×#6090 | C2 | semidirect |
| 5. C13×#1370 | C2 | semidirect |
| 49. #6090 | D8 | semidirect |
| 52. #1370 | D13 | semidirect |
| 67. C8×C13 | M32 | semidirect |
| 128. C13 | #12039 | semidirect |
| 142. C8 | #88038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116667 | 2 |
| C8×D104 | 2 |
| #13112790 | 2 |
| C8×#6090 | 2 |
| C13×#1370 | 2 |
| #12039 | 13 |