Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#11718514 | C2 | semidirect |
| 3. C2×#11718109 | C2 | semidirect |
| 5. #13112934 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 17. C2×#88069 | C4 | semidirect |
| 18. C2×#88067 | C4 | semidirect |
| 285. C13 | #13038 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718856 | 2 |
| C2×#11718514 | 2 |
| C2×#11718109 | 2 |
| #13115730 | 2 |
| #13112934 | 2 |
| #13112915 | 2 |
| C2×C13×#360 | 2 |
| #13038 | 13 |