Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
412 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
| 2. #14583295 | C2 | semidirect |
| 3. #14583271 | C2 | semidirect |
| 4. #14583251 | C2 | semidirect |
| 5. #14583245 | C2 | semidirect |
| 6. #14583126 | C2 | semidirect |
| 7. C4×#10621883 | C2 | semidirect |
| 8. C2×C4×C43⋊C8 | C2 | semidirect |
| 78. C2×C4×C43 | SD16 | semidirect |
| 90. C43⋊C8 | #41 | semidirect |
| 122. C43 | #3167 | semidirect |
| 195. C2×C4 | #10621883 | semidirect |