Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
234 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 65 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. C16×D52 | C2 | semidirect |
| 2. #13114232 | C2 | semidirect |
| 4. #13112910 | C2 | semidirect |
| 5. #13112894 | C2 | semidirect |
| 6. #13112882 | C2 | semidirect |
| 7. C13×#2240 | C2 | semidirect |
| 70. #2240 | D13 | semidirect |
| 180. C13 | #12468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C16×D52 | 2 |
| #13114232 | 2 |
| #13114188 | 2 |
| #13112910 | 2 |
| #13112894 | 2 |
| #13112882 | 2 |
| C13×#2240 | 2 |
| #12468 | 13 |