Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 109 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×#11718377 | C2 | semidirect |
| 3. C2×#11718109 | C2 | semidirect |
| 6. #13112935 | C2 | semidirect |
| 7. C13×#1375 | C2 | semidirect |
| 21. C2×Dic104 | C4 | semidirect |
| 22. C2×#88040 | C4 | semidirect |
| 123. #1375 | D13 | 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×#11718570 | 2 |
| C2×#11718377 | 2 |
| C2×#11718109 | 2 |
| C2×#11718110 | 2 |
| #13115729 | 2 |
| #13112935 | 2 |
| C13×#1375 | 2 |
| #13038 | 13 |