Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
258 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13112918 | C2 | semidirect |
| 2. #13112663 | C2 | semidirect |
| 14. C2×C13×Q16 | C8 | semidirect |
| 16. C2×C13×D8 | C8 | semidirect |
| 120. C2×Q16 | #1055 | semidirect |
| 122. C2×D8 | #1055 | semidirect |
| 176. C13 | #7114 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13112918 | 2 |
| #13112663 | 2 |
| C13×#1974 | 2 |
| #7114 | 13 |