Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
572 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 157 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×#13063345 | C2 | semidirect |
| 2. #14583449 | C2 | semidirect |
| 3. #14583281 | C2 | semidirect |
| 4. #14583278 | C2 | semidirect |
| 5. #14583275 | C2 | semidirect |
| 6. #14583273 | C2 | semidirect |
| 7. #14583271 | C2 | semidirect |
| 8. C2×C4×C43⋊C8 | C2 | semidirect |
| 9. C43×#532 | C2 | semidirect |
| 57. C2×C43⋊C8 | D4 | semidirect |
| 93. C4×C43 | #135 | semidirect |
| 104. #532 | D43 | semidirect |
| 111. C43 | #3147 | semidirect |
| 196. C4 | #13063345 | semidirect |