Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 109 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. #11718343 | C4 | semidirect |
| 20. #11718342 | C4 | semidirect |
| 270. C13 | #9298 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125989 | 2 |
| #13117584 | 2 |
| #13115817 | 2 |
| #13113520 | 2 |
| #13113401 | 2 |
| #13112695 | 2 |
| C13×#1274 | 2 |
| #9298 | 13 |