Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
148 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 49 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×D688 | C2 | semidirect |
| 2. #14583169 | C2 | semidirect |
| 3. #14582729 | C2 | semidirect |
| 4. #14582713 | C2 | semidirect |
| 5. C43×#504 | C2 | semidirect |
| 56. #504 | D43 | semidirect |
| 60. C43 | #2221 | semidirect |