Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 4. C23×C8×C13 | C4 | semidirect |
| 9. C2×C22⋊#1055 | C4 | semidirect |
| 11. #11718305 | C4 | semidirect |
| 32. #88119 | C8 | semidirect |
| 119. C23×C8 | #261 | semidirect |
| 224. C13 | #7204 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88119 | 2 |
| #13130075 | 2 |
| #13115128 | 2 |
| #7204 | 13 |