Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
354 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #13114744 | C2 | semidirect |
| 5. #13112934 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 7. C2×C13×#365 | C2 | semidirect |
| 20. #11718108 | C4 | semidirect |
| 90. C2×#365 | D13 | semidirect |
| 225. C13 | #13138 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718108 | 2 |
| C2×#11718087 | 2 |
| #13115710 | 2 |
| #13114744 | 2 |
| #13112934 | 2 |
| #13112919 | 2 |
| C2×C13×#365 | 2 |
| #13138 | 13 |