Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
168 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14583029 | C2 | semidirect |
| 4. #14582652 | C2 | semidirect |
| 5. #14582631 | C2 | semidirect |
| 7. C43×#322 | C2 | semidirect |
| 84. #322 | D43 | semidirect |
| 85. C43 | #1585 | semidirect |