Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
400 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 400 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. #14583456 | C2 | semidirect |
| 3. #14583254 | C2 | semidirect |
| 4. #14583250 | C2 | semidirect |
| 5. #14583246 | C2 | semidirect |
| 6. #14582896 | C2 | semidirect |
| 7. C2×C4×C8×C43 | C2 | semidirect |
| 85. C2×C4×C8 | D43 | semidirect |
| 86. C43 | #3131 | semidirect |