Finite Group DatabasebetaFinite Group DatabasebetaOrder 25216.
204 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 99. C197 | #1470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263316 | 2 |
| #27161133 | 2 |
| #27161129 | 2 |
| #27160805 | 2 |
| #27160804 | 2 |
| #324×C197 | 2 |
| #1470 | 197 |