Finite Group DatabasebetaFinite Group DatabasebetaOrder 25216.
262 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 93 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. #27161128 | C2 | semidirect |
| 3. #27161103 | C2 | semidirect |
| 5. #27160851 | C2 | semidirect |
| 6. #27160839 | C2 | semidirect |
| 21. #104×C197 | C4 | semidirect |
| 22. #104×C197 | C4 | semidirect |
| 97. C197 | #1861 | semidirect |
| 119. #104 | Dic197 | semidirect |
| 120. #104 | Dic197 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #27161846 | 2 |
| #27161128 | 2 |
| #27161103 | 2 |
| #27161096 | 2 |
| #27160851 | 2 |
| #27160839 | 2 |
| C2×#104×C197 | 2 |
| #1861 | 197 |