Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
322 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 322 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 |
|---|---|---|
| 2. #14582861 | C2 | semidirect |
| 3. C22⋊C8×D43 | C2 | semidirect |
| 4. #14582623 | C2 | semidirect |
| 5. #14582622 | C2 | semidirect |
| 6. #14582622 | C2 | semidirect |
| 7. C43×#323 | C2 | semidirect |
| 146. #323 | D43 | semidirect |
| 147. C43 | #1471 | semidirect |