Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
336 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 3. #13113006 | C2 | semidirect |
| 4. #13113000 | C2 | semidirect |
| 7. #11719223 | C4 | semidirect |
| 15. #11718721 | C4 | semidirect |
| 16. #11718717 | C4 | semidirect |
| 18. #11718661 | C4 | semidirect |
| 41. #88124 | C2×C4 | semidirect |
| 42. #88123 | C2×C4 | semidirect |
| 54. #88043 | C2×C4 | semidirect |
| 55. C4×#1055 | C2×C4 | semidirect |
| 248. C13 | #13610 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125908 | 2 |
| #13116505 | 2 |
| #13113006 | 2 |
| #13113000 | 2 |
| C13×#2128 | 2 |
| #13610 | 13 |