Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
460 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 139 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. #14583571 | C2 | semidirect |
| 2. #14583275 | C2 | semidirect |
| 3. #14583094 | C2 | semidirect |
| 4. #14583091 | C2 | semidirect |
| 5. Q8×C43⋊C8 | C2 | semidirect |
| 6. C4×#10621882 | C2 | semidirect |
| 7. C43×#550 | C2 | semidirect |
| 47. Q8×C43 | D8 | semidirect |
| 64. C43⋊C8 | #41 | semidirect |
| 85. #550 | D43 | semidirect |
| 91. C43 | #3391 | semidirect |
| 131. Q8 | #10621882 | semidirect |