Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13063331 | C2 | semidirect |
| 2. #14583477 | C2 | semidirect |
| 3. #14583142 | C2 | semidirect |
| 4. #14583137 | C2 | semidirect |
| 5. #14583132 | C2 | semidirect |
| 6. C2×#13063259 | C2 | semidirect |
| 7. #14582900 | C2 | semidirect |
| 8. C2×#135×C43 | C2 | semidirect |
| 48. C2×C8×C43 | D4 | semidirect |
| 109. C2×#135 | D43 | semidirect |
| 117. C43 | #3061 | semidirect |
| 161. C2×C8 | C22⋊D43 | semidirect |