Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
234 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 234 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. #14582851 | C2 | semidirect |
| 3. #97×D43 | C2 | semidirect |
| 4. #14582640 | C2 | semidirect |
| 5. #14582640 | C2 | semidirect |
| 6. #14582639 | C2 | semidirect |
| 7. C43×#329 | C2 | semidirect |
| 106. #329 | D43 | semidirect |
| 107. C43 | #1524 | semidirect |