Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
492 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 492 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×Dic172 | C2 | semidirect |
| 4. #14583158 | C2 | direct (N × H) |
| 5. C2×#13063248 | C2 | semidirect |
| 6. C2×#106×C43 | C2 | semidirect |
| 10. C2×Dic172 | C22 | semidirect |
| 18. #13063248 | C22 | semidirect |
| 21. #106×C43 | C22 | semidirect |
| 80. C2×C43 | #470 | semidirect |
| 88. C2×#106 | D43 | semidirect |
| 90. C43 | C2×#470 | semidirect |
| 104. #106 | C2×D43 | semidirect |
| 164. C2 | #14583158 | direct (N × H) |