Finite Group DatabasebetaFinite Group DatabasebetaOrder 25472.
166 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 3. #27164396 | C2 | semidirect |
| 5. Dic199⋊C16 | C2 | semidirect |
| 6. #27163821 | C2 | semidirect |
| 7. #358×C199 | C2 | semidirect |
| 68. Dic199 | SD32 | semidirect |
| 73. C199 | #2208 | semidirect |
| 81. #358 | D199 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20263900 | 2 |
| C2×#20263898 | 2 |
| #27164396 | 2 |
| #27164100 | 2 |
| Dic199⋊C16 | 2 |
| #27163821 | 2 |
| #358×C199 | 2 |
| #2208 | 199 |