Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
112 conjugacy classes of subgroups; only the 23 normal subgroups are shown.
This group has 112 conjugacy classes of subgroups — too many to draw. Only its 23 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. #14582694 | C2 | semidirect |
| 3. C43×#329 | C2 | semidirect |
| 4. #13063373 | C4 | semidirect |
| 7. #13063244 | C4 | semidirect |
| 56. #329 | D43 | semidirect |
| 57. C43 | #1404 | semidirect |