Finite Group DatabasebetaFinite Group DatabasebetaOrder 15616.
228 conjugacy classes of subgroups; only the 56 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 56 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. #21460861 | C2 | semidirect |
| 2. #21460659 | C2 | semidirect |
| 20. C2×Dic244 | C8 | semidirect |
| 22. C2×D488 | C8 | semidirect |
| 117. C61 | #7109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #21460861 | 2 |
| #21460659 | 2 |
| #21446710 | 2 |
| #7109 | 61 |