Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
342 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 112 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 |
|---|---|---|
| 16. C4⋊#11758185 | C4 | semidirect |
| 17. #16839580 | C4 | semidirect |
| 18. C61×C4⋊C16 | C4 | semidirect |
| 117. C4×C61 | #367 | semidirect |
| 121. Dic61 | #367 | semidirect |
| 147. C4⋊C16 | #6923 | semidirect |
| 149. C61 | #13177 | semidirect |
| 251. C4 | #16840689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840689 | 2 |
| #21461755 | 2 |
| C4×#14519846 | 2 |
| #21460877 | 2 |
| C4⋊C16×D61 | 2 |
| #13177 | 61 |