Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13125217 | C2 | semidirect |
| 4. #13113561 | C2 | semidirect |
| 6. #13113347 | C2 | semidirect |
| 7. C13×#1300 | C2 | semidirect |
| 128. #1300 | D13 | semidirect |
| 300. C13 | #10098 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125841 | 2 |
| #13125217 | 2 |
| #13120772 | 2 |
| #13113561 | 2 |
| #13113433 | 2 |
| #13113347 | 2 |
| C13×#1300 | 2 |
| #10098 | 13 |