Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
326 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 60 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. #13129977 | C2 | semidirect |
| 5. #11719175 | C4 | semidirect |
| 7. C2×C13×#97 | C4 | semidirect |
| 11. #11718364 | C4 | semidirect |
| 91. C2×#97 | #261 | semidirect |
| 157. C13 | #13594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131109 | 2 |
| #13129977 | 2 |
| #13125182 | 2 |
| #13594 | 13 |