Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13127939 | C2 | semidirect |
| 3. #13116551 | C2 | semidirect |
| 4. #13112937 | C2 | semidirect |
| 5. C13×#1812 | C2 | semidirect |
| 12. #11718796 | C4 | semidirect |
| 48. C2×#6090 | D4 | semidirect |
| 86. #1812 | D13 | semidirect |
| 208. C13 | #13074 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127939 | 2 |
| #13124484 | 2 |
| #13116551 | 2 |
| #13112937 | 2 |
| C13×#1812 | 2 |
| #13074 | 13 |