Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
318 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 7. C2×C13×#108 | C4 | semidirect |
| 9. C2×#88059 | C4 | semidirect |
| 13. #11718263 | C4 | semidirect |
| 117. C2×#108 | #261 | semidirect |
| 209. C13 | #7256 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718263 | 2 |
| C2×#11718267 | 2 |
| #13114875 | 2 |
| #7256 | 13 |