Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
526 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 526 conjugacy classes of subgroups — too many to draw. Only its 124 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. #13131037 | C2 | semidirect |
| 3. C4×#88102 | C2 | semidirect |
| 4. #13129893 | C2 | semidirect |
| 11. C4×C13×D8 | C4 | semidirect |
| 12. D8×Dic13 | C4 | semidirect |
| 15. #11718533 | C4 | semidirect |
| 18. C4×D104 | C4 | semidirect |
| 20. #11718276 | C4 | semidirect |
| 47. #88102 | C2×C4 | semidirect |
| 49. D13⋊C16 | C2×C4 | semidirect |
| 82. C13×D8 | C42 | semidirect |
| 100. D104 | C42 | semidirect |
| 156. C4×D8 | #261 | semidirect |
| 253. D8 | C4×#261 | semidirect |
| 276. C13 | #12637 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718276 | 2 |
| #13131037 | 2 |
| C4×#88102 | 2 |
| #13129893 | 2 |
| C4×D8×D13 | 2 |
| #12637 | 13 |