Finite Group DatabasebetaFinite Group DatabasebetaOrder 25408.
122 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 122 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. #27163061 | C2 | semidirect |
| 4. #27163027 | C2 | semidirect |
| 5. #27163021 | C2 | semidirect |
| 6. C8×Dic397 | C2 | semidirect |
| 10. #20263719 | C4 | semidirect |
| 21. Dic794 | C2×C4 | semidirect |
| 27. #15691787 | C2×C4 | semidirect |
| 44. Dic397 | SD16 | semidirect |
| 49. C397 | C4×SD16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263719 | 2 |
| #27163061 | 2 |
| D4×Dic397 | 2 |
| #27163027 | 2 |
| #27163021 | 2 |
| C8×Dic397 | 2 |
| #102×C397 | 2 |
| C4×SD16 | 397 |