Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
220 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 220 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. M32×D43 | C2 | semidirect |
| 3. #108×D43 | C2 | semidirect |
| 4. #14582716 | C2 | semidirect |
| 5. #14582714 | C2 | semidirect |
| 6. #14582712 | C2 | semidirect |
| 7. C43×#361 | C2 | semidirect |
| 98. #361 | D43 | semidirect |
| 99. C43 | #2148 | semidirect |