Finite Group DatabasebetaFinite Group DatabasebetaOrder 25408.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 1. C2×#20263732 | C2 | semidirect |
| 2. C2×#20263718 | C2 | semidirect |
| 3. C2×D3176 | C2 | semidirect |
| 4. #27163071 | C2 | semidirect |
| 5. #27163016 | C2 | semidirect |
| 6. #27163008 | C2 | semidirect |
| 7. #103×C397 | C2 | semidirect |
| 31. D1588 | D4 | semidirect |
| 38. Q8×C397 | D4 | semidirect |
| 64. C397 | #449 | semidirect |
| 70. #103 | D397 | semidirect |
| 92. Q8 | D1588 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263732 | 2 |
| C2×#20263718 | 2 |
| C2×D3176 | 2 |
| #27163071 | 2 |
| #27163016 | 2 |
| #27163008 | 2 |
| #103×C397 | 2 |
| #449 | 397 |