Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 2. #13115010 | C2 | semidirect |
| 3. #13113608 | C2 | semidirect |
| 4. #13113607 | C2 | semidirect |
| 6. #13112666 | C2 | semidirect |
| 215. C13 | #10661 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115635 | 2 |
| #13115010 | 2 |
| #13113608 | 2 |
| #13113607 | 2 |
| #13113261 | 2 |
| #13112666 | 2 |
| C13×#1486 | 2 |
| #10661 | 13 |