Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
996 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 996 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13126223 | C2 | semidirect |
| 2. #13125158 | C2 | semidirect |
| 3. #13114064 | C2 | semidirect |
| 4. #13114015 | C2 | semidirect |
| 5. #13113571 | C2 | semidirect |
| 6. #13113287 | C2 | semidirect |
| 17. #11719175 | C22 | semidirect |
| 20. #11718742 | C22 | semidirect |
| 25. #11718680 | C22 | semidirect |
| 26. #11718668 | C22 | semidirect |
| 27. #11718585 | C22 | semidirect |
| 28. C2×C4×#1055 | C22 | semidirect |
| 29. #11718138 | C22 | semidirect |
| 31. D4⋊#1055 | C22 | semidirect |
| 301. C13 | #18691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126223 | 2 |
| #13125158 | 2 |
| #13114064 | 2 |
| #13114015 | 2 |
| #13113571 | 2 |
| #13113287 | 2 |
| C13×#3549 | 2 |
| #18691 | 13 |