Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
178 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 8. #11718249 | C4 | semidirect |
| 12. C2×#88036 | C4 | semidirect |
| 124. C13 | #7470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718249 | 2 |
| C22×#88036 | 2 |
| #13116433 | 2 |
| #7470 | 13 |