Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
218 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 3. C4⋊#14519683 | C2 | semidirect |
| 4. #21444014 | C2 | semidirect |
| 5. C61×C4⋊C32 | C2 | semidirect |
| 73. C4×C61 | M64 | semidirect |
| 78. Dic61 | M64 | semidirect |
| 83. C4⋊C32 | D61 | semidirect |
| 98. C61 | #13627 | semidirect |
| 158. C4 | #16839595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16839595 | 2 |
| C4×C16×D61 | 2 |
| C4⋊#14519683 | 2 |
| #21444014 | 2 |
| C61×C4⋊C32 | 2 |
| #13627 | 61 |