Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
458 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 139 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×#11718079 | C2 | semidirect |
| 4. #13112934 | C2 | semidirect |
| 16. C22⋊#6090 | C4 | semidirect |
| 40. C2×#6090 | C2×C4 | semidirect |
| 121. C22×C13 | #365 | semidirect |
| 190. C13 | #12929 | semidirect |
| 222. C22 | #11718079 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718079 | 2 |
| #13116447 | 2 |
| #13114874 | 2 |
| #13112934 | 2 |
| C22×C13×#106 | 2 |
| #12929 | 13 |