Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
402 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. C2×#13063250 | C2 | semidirect |
| 5. #14582805 | C2 | semidirect |
| 6. #14582662 | C2 | semidirect |
| 7. C43×#336 | C2 | semidirect |
| 13. C2×#10621873 | C4 | semidirect |
| 47. C2×Dic86 | C2×C4 | semidirect |
| 53. C2×C8×C43 | C2×C4 | semidirect |
| 75. C2×C4×C43 | SD16 | semidirect |
| 140. #336 | D43 | semidirect |
| 141. C43 | #1877 | semidirect |
| 188. C2×C8 | C4×D43 | semidirect |
| 227. C2×C4 | #10621873 | semidirect |