Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 70 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. #13130735 | C2 | semidirect |
| 2. C2×#11718286 | C2 | semidirect |
| 3. #13129837 | C2 | semidirect |
| 4. #13129818 | C2 | semidirect |
| 309. C13 | #11848 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130735 | 2 |
| C2×#11718286 | 2 |
| #13129837 | 2 |
| #13129818 | 2 |
| #13118167 | 2 |
| #11848 | 13 |