Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
578 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13125831 | C2 | semidirect |
| 2. #13125300 | C2 | semidirect |
| 3. #13113304 | C2 | semidirect |
| 4. #13113253 | C2 | semidirect |
| 5. #13113188 | C2 | semidirect |
| 6. #13112707 | C2 | semidirect |
| 7. C13×#3213 | C2 | semidirect |
| 141. #3213 | D13 | semidirect |
| 351. C13 | #10120 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125831 | 2 |
| #13125300 | 2 |
| #13113304 | 2 |
| #13113253 | 2 |
| #13113188 | 2 |
| #13112707 | 2 |
| C13×#3213 | 2 |
| #10120 | 13 |