Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 3. C2×#11718363 | C2 | semidirect |
| 4. #13113561 | C2 | semidirect |
| 5. #13113193 | C2 | semidirect |
| 6. #13112735 | C2 | semidirect |
| 284. C13 | #10142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126022 | 2 |
| #13125954 | 2 |
| C2×#11718363 | 2 |
| #13113561 | 2 |
| #13113193 | 2 |
| #13112735 | 2 |
| C13×#1530 | 2 |
| #10142 | 13 |