Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 76 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 |
|---|---|---|
| 8. C2×C4⋊#1057 | C4 | semidirect |
| 9. C2×C4×#1057 | C4 | semidirect |
| 14. #11718285 | C4 | semidirect |
| 38. C13×#99 | C8 | semidirect |
| 40. #88074 | C8 | semidirect |
| 195. #99 | #1057 | semidirect |
| 254. C13 | #7205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130957 | 2 |
| #13130072 | 2 |
| #99×Dic13 | 2 |
| #7205 | 13 |