Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. #14583553 | C2 | semidirect |
| 2. #14583302 | C2 | semidirect |
| 3. #14583212 | C2 | semidirect |
| 4. #14583210 | C2 | semidirect |
| 5. #14583179 | C2 | semidirect |
| 6. #14583176 | C2 | semidirect |
| 7. #14583133 | C2 | semidirect |
| 8. C4×#10621882 | C2 | semidirect |
| 9. D4×C43⋊C8 | C2 | semidirect |
| 10. C2×#13063258 | C2 | semidirect |
| 11. C43×#547 | C2 | semidirect |
| 82. D4×C43 | D8 | semidirect |
| 103. C43⋊C8 | #41 | semidirect |
| 131. #547 | D43 | semidirect |
| 141. C43 | #3334 | semidirect |
| 216. D4 | #10621882 | semidirect |