Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
172 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 2. C4×D344 | C2 | semidirect |
| 3. #14582726 | C2 | semidirect |
| 4. #14582700 | C2 | semidirect |
| 5. #14582699 | C2 | semidirect |
| 6. #14582675 | C2 | semidirect |
| 7. C4×D8×C43 | C2 | semidirect |
| 10. #13063266 | C4 | semidirect |
| 25. D8×C43 | C2×C4 | semidirect |
| 34. D344 | C2×C4 | semidirect |
| 36. C43⋊C16 | C2×C4 | semidirect |
| 74. C4×D8 | D43 | semidirect |
| 79. C43 | #2177 | semidirect |
| 99. D8 | C4×D43 | semidirect |