Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
| 95. C13×C22⋊C4 | C2×C8 | semidirect |
| 209. #123 | #1055 | semidirect |
| 266. C22×C4 | C2×#1055 | semidirect |
| 284. C22⋊C4 | C2×#1055 | semidirect |
| 291. C13 | #11472 | 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 |
| C4×C13×#123 | 2 |
| #11472 | 13 |