Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
134 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 2. #14582723 | C2 | semidirect |
| 3. #14582711 | C2 | semidirect |
| 4. #14582681 | C2 | semidirect |
| 5. C43×#430 | C2 | semidirect |
| 57. #430 | D43 | semidirect |
| 61. C43 | #2238 | semidirect |