Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13116169 | C2 | semidirect |
| 3. #13115935 | C2 | semidirect |
| 4. #13112662 | C2 | semidirect |
| 5. #13112659 | C2 | semidirect |
| 315. C13 | #7785 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116169 | 2 |
| #13115972 | 2 |
| #13115935 | 2 |
| #13112662 | 2 |
| #13112659 | 2 |
| #13112657 | 2 |
| C13×#2808 | 2 |
| #7785 | 13 |