Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
340 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 74 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×#107 | C4 | semidirect |
| 8. C2×#88057 | C4 | semidirect |
| 11. #11718267 | C4 | semidirect |
| 13. #11718263 | C4 | semidirect |
| 123. C2×#107 | #261 | semidirect |
| 222. C13 | #7254 | 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 |
| #13114870 | 2 |
| #7254 | 13 |