Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
418 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#16840164 | C2 | semidirect |
| 4. #21443911 | C2 | semidirect |
| 5. C61×#1374 | C2 | semidirect |
| 118. #1374 | D61 | semidirect |
| 136. C61 | #13365 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840164 | 2 |
| C2×#16839564 | 2 |
| #21446685 | 2 |
| #21443911 | 2 |
| C61×#1374 | 2 |
| #13365 | 61 |