Finite Group DatabasebetaFinite Group DatabasebetaOrder 25472.
260 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 260 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 |
|---|---|---|
| 1. C2×#20263895 | C2 | semidirect |
| 2. #27164056 | C2 | semidirect |
| 3. #27163819 | C2 | semidirect |
| 7. C2×C199⋊C16 | C22 | semidirect |
| 8. #20263889 | C22 | semidirect |
| 13. C2×D8×C199 | C4 | semidirect |
| 62. C199 | #2140 | semidirect |
| 71. C2×D8 | Dic199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263895 | 2 |
| #27164056 | 2 |
| #27163819 | 2 |
| C22×D8×C199 | 2 |
| #2140 | 199 |