Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
228 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×#13063260 | C2 | semidirect |
| 2. #14582939 | C2 | semidirect |
| 3. #14582927 | C2 | semidirect |
| 7. C43×#343 | C2 | semidirect |
| 104. #343 | D43 | semidirect |
| 105. C43 | #2063 | semidirect |