Finite Group DatabasebetaFinite Group DatabasebetaOrder 25216.
276 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 12. C2×#15691348 | C4 | semidirect |
| 101. C197 | #1979 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#15691348 | 2 |
| C2×#20263261 | 2 |
| #27161087 | 2 |
| C2×#20263245 | 2 |
| C2×#20263244 | 2 |
| #27161035 | 2 |
| #419×C197 | 2 |
| #1979 | 197 |