Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
446 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 446 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 19. C13×#475 | C4 | semidirect |
| 20. #11718755 | C4 | semidirect |
| 21. #11718682 | C4 | semidirect |
| 24. #11718511 | C4 | semidirect |
| 191. #475 | #261 | semidirect |
| 336. C13 | #9178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131356 | 2 |
| #13130268 | 2 |
| #13130220 | 2 |
| #13130139 | 2 |
| #13129732 | 2 |
| #13129691 | 2 |
| #13124636 | 2 |
| #9178 | 13 |