Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13116608 | C2 | semidirect |
| 3. C2×#11718079 | C2 | semidirect |
| 6. #13112948 | C2 | semidirect |
| 7. C13×#1386 | C2 | semidirect |
| 17. #11718568 | C4 | semidirect |
| 99. #1386 | D13 | semidirect |
| 229. C13 | #12833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127938 | 2 |
| #13116608 | 2 |
| C2×#11718079 | 2 |
| #13114896 | 2 |
| #13114887 | 2 |
| #13112948 | 2 |
| C13×#1386 | 2 |
| #12833 | 13 |