Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
362 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 127 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. #21447601 | C2 | semidirect |
| 4. #21443920 | C2 | semidirect |
| 8. C2×#14519717 | C4 | semidirect |
| 10. C22×#11758185 | C4 | semidirect |
| 125. C61 | #12839 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16840179 | 2 |
| #21447601 | 2 |
| #21445865 | 2 |
| #21443920 | 2 |
| C61×#1812 | 2 |
| #12839 | 61 |