Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
388 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 3. #13113006 | C2 | semidirect |
| 6. #11719175 | C4 | semidirect |
| 11. #11718732 | C4 | semidirect |
| 15. C4×#6099 | C4 | semidirect |
| 34. #88124 | C2×C4 | semidirect |
| 45. #88043 | C2×C4 | semidirect |
| 234. C13 | #13595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125210 | 2 |
| C2×#11718137 | 2 |
| #13113006 | 2 |
| C2×C13×#353 | 2 |
| #13595 | 13 |