Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 164 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 164 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 |
|---|---|---|
| 15. #11718269 | C4 | semidirect |
| 213. C13 | #10815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130541 | 2 |
| #13130528 | 2 |
| C2×#11718269 | 2 |
| C2×#11718350 | 2 |
| #10815 | 13 |