Finite Group DatabasebetaFinite Group DatabasebetaOrder 3904.
248 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14519825 | C2 | semidirect |
| 2. #14519809 | C2 | semidirect |
| 3. #14519808 | C2 | semidirect |
| 4. #14519800 | C2 | semidirect |
| 5. #14519799 | C2 | semidirect |
| 6. Q16×D61 | C2 | semidirect |
| 7. #14519783 | C2 | semidirect |
| 8. C2×Q16×C61 | C2 | semidirect |
| 60. C61 | #578 | semidirect |
| 67. C2×Q16 | D61 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14519825 | 2 |
| #14519809 | 2 |
| #14519808 | 2 |
| #14519800 | 2 |
| #14519799 | 2 |
| Q16×D61 | 2 |
| #14519783 | 2 |
| C2×Q16×C61 | 2 |
| #578 | 61 |