Finite Group DatabasebetaFinite Group DatabasebetaOrder 25472.
200 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 105 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. #20263865 | C4 | semidirect |
| 9. C8×Dic199 | C4 | semidirect |
| 13. #97×C199 | C4 | semidirect |
| 14. C4×C8×C199 | C4 | semidirect |
| 54. C199 | #1747 | semidirect |
| 67. #97 | Dic199 | semidirect |
| 69. C4×C8 | Dic199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27163973 | 2 |
| C199⋊#338 | 2 |
| #27163775 | 2 |
| #27163774 | 2 |
| #405×C199 | 2 |
| #1747 | 199 |