Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
254 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 254 conjugacy classes of subgroups — too many to draw. Only its 53 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. #14583213 | C2 | semidirect |
| 3. #14582829 | C2 | semidirect |
| 4. #14582634 | C2 | semidirect |
| 5. C43×#324 | C2 | semidirect |
| 89. #324 | D43 | semidirect |
| 90. C43 | #1610 | semidirect |