Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
190 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13129998 | C2 | semidirect |
| 3. #13129997 | C2 | semidirect |
| 9. C2×C13×C32 | C4 | semidirect |
| 10. C2×#88034 | C4 | semidirect |
| 11. D13×C32 | C4 | semidirect |
| 12. D13×C32 | C4 | semidirect |
| 67. C2×C32 | #261 | semidirect |
| 111. C13 | #13633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131187 | 2 |
| #13129998 | 2 |
| #13129997 | 2 |
| C2×D13×C32 | 2 |
| #13633 | 13 |