Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 3. #13112784 | C2 | semidirect |
| 4. #13112766 | C2 | semidirect |
| 29. C13×#123 | C8 | semidirect |
| 83. C22×C4×C13 | C2×C8 | semidirect |
| 98. C13×C22⋊C4 | C2×C8 | semidirect |
| 208. #123 | #1055 | semidirect |
| 265. C22×C4 | C2×#1055 | semidirect |
| 286. C22⋊C4 | C2×#1055 | semidirect |
| 290. C13 | #11474 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113157 | 2 |
| #13113154 | 2 |
| #13112784 | 2 |
| #13112766 | 2 |
| C13×#2322 | 2 |
| #11474 | 13 |