Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
650 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#11718854 | C2 | semidirect |
| 2. C2×#11718356 | C2 | semidirect |
| 3. C2×#11718087 | C2 | semidirect |
| 4. #13112918 | C2 | semidirect |
| 5. C13×#1974 | C2 | semidirect |
| 26. C2×C13×Q16 | D4 | semidirect |
| 28. C2×C13×D8 | D4 | semidirect |
| 51. #88052 | D4 | semidirect |
| 97. #1974 | D13 | semidirect |
| 167. C2×Q16 | D52 | semidirect |
| 178. C2×D8 | D52 | semidirect |
| 240. C13 | #13331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718854 | 2 |
| C2×#11718356 | 2 |
| C2×#11718087 | 2 |
| #13112918 | 2 |
| C13×#1974 | 2 |
| #13331 | 13 |