Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 168 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 168 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 |
|---|---|---|
| 12. #11718231 | C4 | semidirect |
| 13. C4×#6092 | C4 | semidirect |
| 116. C13 | #12592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718231 | 2 |
| C2×C4×#6092 | 2 |
| #13129874 | 2 |
| #13114523 | 2 |
| #12592 | 13 |