Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
230 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13113655 | C2 | semidirect |
| 3. #13112902 | C2 | semidirect |
| 4. #13112806 | C2 | semidirect |
| 6. #13112756 | C2 | semidirect |
| 28. C13×SD32 | C8 | semidirect |
| 49. C13×Q16 | C2×C8 | semidirect |
| 66. C13×C16 | C2×C8 | semidirect |
| 126. SD32 | #1055 | semidirect |
| 150. Q16 | C2×#1055 | semidirect |
| 168. C16 | C2×#1055 | semidirect |
| 169. C13 | #12065 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113660 | 2 |
| #13113655 | 2 |
| #13112902 | 2 |
| #13112806 | 2 |
| #13112803 | 2 |
| #13112756 | 2 |
| C13×#2175 | 2 |
| #12065 | 13 |