Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
690 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 127 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. #13116525 | C2 | semidirect |
| 2. C2×#11718134 | C2 | semidirect |
| 3. #13114950 | C2 | semidirect |
| 284. C13 | #12729 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116525 | 2 |
| C2×#11718134 | 2 |
| #13114950 | 2 |
| C13×#3510 | 2 |
| #12729 | 13 |