Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
330 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 106 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×#16840695 | C2 | semidirect |
| 2. #21460933 | C2 | semidirect |
| 3. C22⋊#14519827 | C2 | semidirect |
| 6. C2×#14519827 | C22 | semidirect |
| 88. C22×C61 | M64 | semidirect |
| 96. C2×D61 | M64 | semidirect |
| 122. C61 | #13553 | semidirect |
| 202. C22 | #16840695 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840695 | 2 |
| #21460933 | 2 |
| C22⋊#14519827 | 2 |
| C22×C16×D61 | 2 |
| #13553 | 61 |