Finite Group DatabasebetaFinite Group DatabasebetaOrder 25408.
158 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 2. #27163052 | C2 | semidirect |
| 3. #27163011 | C2 | semidirect |
| 4. #27163010 | C2 | semidirect |
| 5. #99×C397 | C2 | semidirect |
| 8. C2×Dic794 | C4 | semidirect |
| 9. C2×C22⋊D397 | C4 | semidirect |
| 11. C22×Dic397 | C4 | semidirect |
| 13. C2×C4×D397 | C4 | semidirect |
| 57. C397 | #410 | semidirect |
| 63. #99 | D397 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263730 | 2 |
| #27163052 | 2 |
| #27163011 | 2 |
| #27163010 | 2 |
| #99×C397 | 2 |
| #410 | 397 |