Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
372 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 107 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. #21447618 | C2 | semidirect |
| 3. #21443782 | C2 | semidirect |
| 4. #21443779 | C2 | semidirect |
| 5. C61×#1567 | C2 | semidirect |
| 91. Dic244 | M16 | semidirect |
| 93. D488 | M16 | semidirect |
| 148. #1567 | D61 | semidirect |
| 173. C61 | #11660 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14519799 | 2 |
| #21447618 | 2 |
| #21443782 | 2 |
| #21443779 | 2 |
| C61×#1567 | 2 |
| #11660 | 61 |