Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
494 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13123712 | C2 | semidirect |
| 3. C2×#11718101 | C2 | semidirect |
| 4. #13115744 | C2 | semidirect |
| 5. #13112946 | C2 | semidirect |
| 6. #13112924 | C2 | semidirect |
| 7. C2×C13×#359 | C2 | semidirect |
| 15. #11718854 | C4 | semidirect |
| 52. C2×D104 | C2×C4 | semidirect |
| 70. #88052 | C2×C4 | semidirect |
| 126. C2×#359 | D13 | semidirect |
| 311. C13 | #13022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718854 | 2 |
| #13123712 | 2 |
| C2×#11718101 | 2 |
| #13115744 | 2 |
| #13112946 | 2 |
| #13112924 | 2 |
| C2×C13×#359 | 2 |
| #13022 | 13 |