Finite Group DatabasebetaFinite Group DatabasebetaOrder 25216.
238 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 91. C197 | #2097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263260 | 2 |
| C2×#20263258 | 2 |
| C2×#20263251 | 2 |
| #27160985 | 2 |
| #27160945 | 2 |
| #336×C197 | 2 |
| #2097 | 197 |