Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 92 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 |
|---|---|---|
| 17. C13×#364 | C4 | semidirect |
| 18. #11718103 | C4 | semidirect |
| 19. #11718055 | C4 | semidirect |
| 113. #364 | #261 | semidirect |
| 184. C13 | #13180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131188 | 2 |
| #13130773 | 2 |
| #13130638 | 2 |
| #13129911 | 2 |
| D13×#364 | 2 |
| #13180 | 13 |