Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
3294 conjugacy classes of subgroups; only the 667 normal subgroups are shown.
This group has 3294 conjugacy classes of subgroups — too many to draw. Only its 667 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. #13123100 | C2 | direct (N × H) |
| 2. C2×#11718610 | C2 | semidirect |
| 3. C2×#11718609 | C2 | semidirect |
| 12. C22×C4⋊Dic13 | C22 | semidirect |
| 13. C22×#6101 | C22 | semidirect |
| 16. C2×#88071 | C22 | semidirect |
| 17. #11718610 | C22 | semidirect |
| 18. #11718609 | C22 | semidirect |
| 38. C2×C4⋊Dic13 | C23 | semidirect |
| 40. C2×#6101 | C23 | semidirect |
| 41. #88071 | C23 | semidirect |
| 163. C2×C13 | #2842 | semidirect |
| 197. C13 | C2×#2842 | semidirect |
| 247. C2 | #13123100 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123100 | 2 |
| C2×#11718610 | 2 |
| C2×#11718609 | 2 |
| C2×#11718908 | 2 |
| C2×C13×#379 | 2 |
| C2×#2842 | 13 |