Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1946 conjugacy classes of subgroups; only the 259 normal subgroups are shown.
This group has 1946 conjugacy classes of subgroups — too many to draw. Only its 259 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. C22×#88074 | C2 | semidirect |
| 2. #13113059 | C2 | semidirect |
| 4. C23×D4×C13 | C4 | semidirect |
| 9. C22×C13×C4⋊C4 | C4 | semidirect |
| 10. C22×C13×C22⋊C4 | C4 | semidirect |
| 41. C2×C22⋊Dic13 | D4 | semidirect |
| 141. C2×C4×C13 | #99 | semidirect |
| 147. C23×D4 | Dic13 | semidirect |
| 152. C22×C4⋊C4 | Dic13 | semidirect |
| 154. C22×C22⋊C4 | Dic13 | semidirect |
| 273. C13 | #10980 | semidirect |
| 322. C2×C4 | #88074 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88074 | 2 |
| #13113059 | 2 |
| C22×C13×#121 | 2 |
| #10980 | 13 |