Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
180 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13129871 | C2 | semidirect |
| 3. #13129863 | C2 | semidirect |
| 115. C13 | #12027 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131211 | 2 |
| #13129871 | 2 |
| #13129863 | 2 |
| #13116431 | 2 |
| #12027 | 13 |