Finite Group DatabasebetaFinite Group DatabasebetaOrder 3904.
310 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 155 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. #14519742 | C2 | semidirect |
| 3. #14519739 | C2 | semidirect |
| 4. #14519737 | C2 | semidirect |
| 5. #14519734 | C2 | semidirect |
| 6. C2×C4×Dic61 | C2 | semidirect |
| 7. C42×D61 | C2 | semidirect |
| 8. #117×C61 | C2 | semidirect |
| 12. #11758222 | C4 | semidirect |
| 28. C2×C4×C61 | C2×C4 | semidirect |
| 32. C22⋊D61 | C2×C4 | semidirect |
| 37. D244 | C2×C4 | semidirect |
| 39. C4×D61 | C2×C4 | semidirect |
| 40. Dic122 | C2×C4 | semidirect |
| 51. Dic61 | #41 | semidirect |
| 57. C61 | C4×#41 | semidirect |
| 63. #117 | D61 | semidirect |
| 94. C2×C4 | C4×D61 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758222 | 2 |
| #14519742 | 2 |
| #14519739 | 2 |
| #14519737 | 2 |
| #14519734 | 2 |
| C2×C4×Dic61 | 2 |
| C42×D61 | 2 |
| #117×C61 | 2 |
| C4×#41 | 61 |