Finite Group DatabasebetaFinite Group DatabasebetaOrder 3904.
154 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 59 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. C2×#11758194 | C2 | semidirect |
| 3. #14519705 | C2 | semidirect |
| 4. #117×C61 | C2 | semidirect |
| 9. #11758222 | C4 | semidirect |
| 11. C2×D244 | C4 | semidirect |
| 13. C2×Dic122 | C4 | semidirect |
| 16. C42×C61 | C22 | semidirect |
| 18. #11758194 | C22 | semidirect |
| 57. C61 | #421 | semidirect |
| 60. #117 | D61 | semidirect |
| 76. C42 | C2×D61 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758222 | 2 |
| C2×#11758194 | 2 |
| #14519705 | 2 |
| #117×C61 | 2 |
| #421 | 61 |