Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 65 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×Dic172 | C2 | semidirect |
| 4. #14582727 | C2 | semidirect |
| 5. #14582704 | C2 | semidirect |
| 7. C4×C16×C43 | C2 | semidirect |
| 12. #13063270 | C4 | direct (N × H) |
| 32. Dic172 | C2×C4 | semidirect |
| 36. C16×C43 | C2×C4 | semidirect |
| 57. C4×C43 | SD32 | semidirect |
| 74. C4×C16 | D43 | semidirect |
| 75. C43 | C4×SD32 | semidirect |
| 104. C16 | C4×D43 | semidirect |
| 128. C4 | #13063270 | direct (N × H) |