Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
736 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 736 conjugacy classes of subgroups — too many to draw. Only its 269 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×#13063243 | C2 | direct (N × H) |
| 15. #13063243 | C22 | direct (N × H) |
| 69. C22×C43 | #101 | semidirect |
| 81. C2×C43 | C2×#101 | semidirect |
| 87. C43 | C22×#101 | semidirect |
| 152. C22 | #13063243 | direct (N × H) |
| 163. C2 | C2×#13063243 | direct (N × H) |