Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
640 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13125980 | C2 | semidirect |
| 3. #13115813 | C2 | semidirect |
| 4. #13113508 | C2 | semidirect |
| 6. #13112669 | C2 | semidirect |
| 102. C42×C13 | SD16 | semidirect |
| 294. C42 | #6105 | semidirect |
| 299. C13 | #10294 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125980 | 2 |
| #13125777 | 2 |
| #13115813 | 2 |
| #13113508 | 2 |
| #13113504 | 2 |
| #13112669 | 2 |
| C13×#2858 | 2 |
| #10294 | 13 |