Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
106 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 41 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. #14583331 | C2 | semidirect |
| 2. #14582739 | C2 | semidirect |
| 3. #14582737 | C2 | semidirect |
| 4. #14582736 | C2 | semidirect |
| 5. #14582734 | C2 | semidirect |
| 6. C2×C43⋊C32 | C2 | semidirect |
| 7. C43×#508 | C2 | semidirect |
| 54. #508 | D43 | semidirect |
| 60. C43 | #2262 | semidirect |