Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14583712 | C2 | semidirect |
| 2. #14583341 | C2 | semidirect |
| 3. #14583340 | C2 | semidirect |
| 4. #14583332 | C2 | semidirect |
| 5. #14583331 | C2 | semidirect |
| 6. Q32×D43 | C2 | semidirect |
| 7. #14583315 | C2 | semidirect |
| 8. C2×Q32×C43 | C2 | semidirect |
| 88. C2×Q32 | D43 | semidirect |
| 90. C43 | #3417 | semidirect |