Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
328 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 1. C2×#11718103 | C2 | semidirect |
| 3. C2×#11718104 | C2 | semidirect |
| 5. #13112917 | C2 | semidirect |
| 6. #13112915 | C2 | semidirect |
| 243. C13 | #13128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718103 | 2 |
| C2×#11718145 | 2 |
| C2×#11718104 | 2 |
| #13114617 | 2 |
| #13112917 | 2 |
| #13112915 | 2 |
| C2×C13×#349 | 2 |
| #13128 | 13 |