Finite Group DatabasebetaFinite Group DatabasebetaOrder 25216.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #27161387 | C2 | semidirect |
| 5. #27161290 | C2 | semidirect |
| 7. #27161187 | C2 | semidirect |
| 8. C4×Dic788 | C2 | semidirect |
| 95. C197 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27161691 | 2 |
| #27161556 | 2 |
| #27161421 | 2 |
| #27161387 | 2 |
| #27161290 | 2 |
| #27161237 | 2 |
| #27161187 | 2 |
| C4×Dic788 | 2 |
| #433×C197 | 2 |
| #3127 | 197 |