Finite Group DatabasebetaFinite Group DatabasebetaOrder 25216.
208 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 8. #20263325 | C4 | semidirect |
| 9. #20263324 | C4 | semidirect |
| 13. Q8×Dic197 | C4 | semidirect |
| 15. #20263291 | C4 | semidirect |
| 102. C197 | #1515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27161631 | 2 |
| #27161133 | 2 |
| #27160946 | 2 |
| #27160817 | 2 |
| #27160816 | 2 |
| #27160815 | 2 |
| #328×C197 | 2 |
| #1515 | 197 |