Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2598 conjugacy classes of subgroups; only the 752 normal subgroups are shown.
This group has 2598 conjugacy classes of subgroups — too many to draw. Only its 752 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 |
|---|---|---|
| 2. #95×#261 | C2 | semidirect |
| 7. C4×C22⋊#261 | C4 | semidirect |
| 9. C2×C13×#95 | C4 | semidirect |
| 10. C2×#88071 | C4 | semidirect |
| 11. D13×#95 | C4 | semidirect |
| 23. C2×C4×#261 | C2×C4 | semidirect |
| 24. (C2×#261)⋊C4 | C2×C4 | semidirect |
| 38. C22×C4×C13 | C42 | semidirect |
| 41. C22×Dic13 | C42 | semidirect |
| 46. C2×C4×D13 | C42 | semidirect |
| 49. C22⋊#261 | C42 | semidirect |
| 87. C2×#95 | #261 | semidirect |
| 143. C22×C4 | C4×#261 | semidirect |
| 147. C13 | #13749 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊#261 | 2 |
| #95×#261 | 2 |
| C2×D13×#95 | 2 |
| #13749 | 13 |