Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
488 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 93 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. #21454960 | C2 | semidirect |
| 3. #21446618 | C2 | semidirect |
| 4. #21444408 | C2 | semidirect |
| 5. #21443717 | C2 | semidirect |
| 6. #21443670 | C2 | semidirect |
| 7. C61×#1490 | C2 | semidirect |
| 225. #1490 | D61 | semidirect |
| 262. C61 | #9052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21455866 | 2 |
| #21454960 | 2 |
| #21446618 | 2 |
| #21444408 | 2 |
| #21443717 | 2 |
| #21443670 | 2 |
| C61×#1490 | 2 |
| #9052 | 61 |