Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
646 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 646 conjugacy classes of subgroups — too many to draw. Only its 128 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 |
|---|---|---|
| 2. #13129656 | C2 | semidirect |
| 196. C13 | #7643 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130692 | 2 |
| #13129656 | 2 |
| C2×#11718891 | 2 |
| #7643 | 13 |