Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
252 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 93 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. #11718086 | C4 | semidirect |
| 179. C13 | #13115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116610 | 2 |
| #13115587 | 2 |
| #13114723 | 2 |
| #13112950 | 2 |
| #13112938 | 2 |
| #13112919 | 2 |
| C13×#1388 | 2 |
| #13115 | 13 |