Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
728 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 728 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13125554 | C2 | semidirect |
| 3. #13125230 | C2 | semidirect |
| 4. #13125217 | C2 | semidirect |
| 5. #13114489 | C2 | semidirect |
| 6. #13114482 | C2 | semidirect |
| 7. #13114475 | C2 | semidirect |
| 8. #13114448 | C2 | semidirect |
| 9. C13×#1455 | C2 | semidirect |
| 125. #1455 | D13 | semidirect |
| 274. C13 | #19754 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125574 | 2 |
| #13125554 | 2 |
| #13125230 | 2 |
| #13125217 | 2 |
| #13114489 | 2 |
| #13114482 | 2 |
| #13114475 | 2 |
| #13114448 | 2 |
| C13×#1455 | 2 |
| #19754 | 13 |