Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
512 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#10621885 | C2 | semidirect |
| 5. #14583139 | C2 | direct (N × H) |
| 6. C2×#13063258 | C2 | semidirect |
| 7. C2×#13063250 | C2 | semidirect |
| 8. C2×#103×C43 | C2 | semidirect |
| 12. C2×#10621885 | C22 | semidirect |
| 25. #13063258 | C22 | semidirect |
| 26. #13063250 | C22 | semidirect |
| 30. #103×C43 | C22 | semidirect |
| 67. C22×D43 | Q16 | semidirect |
| 101. C2×D43 | C2×Q16 | semidirect |
| 111. C2×C43 | #467 | semidirect |
| 123. C2×#103 | D43 | semidirect |
| 124. C43 | C2×#467 | semidirect |
| 146. #103 | C2×D43 | semidirect |
| 227. C2 | #14583139 | direct (N × H) |