Finite Group DatabasebetaFinite Group DatabasebetaOrder 25472.
356 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×Dic199⋊C8 | C2 | semidirect |
| 5. #27163883 | C2 | semidirect |
| 6. #27163780 | C2 | semidirect |
| 7. #340×C199 | C2 | semidirect |
| 12. #20263917 | C4 | semidirect |
| 122. C199 | #1804 | semidirect |
| 130. #340 | D199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263917 | 2 |
| C2×Dic199⋊C8 | 2 |
| C2×#20263877 | 2 |
| C2×#20263875 | 2 |
| #27163883 | 2 |
| #27163780 | 2 |
| #340×C199 | 2 |
| #1804 | 199 |