Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
406 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 73 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×#13063353 | C2 | semidirect |
| 2. C2×#13063350 | C2 | semidirect |
| 3. #14583477 | C2 | semidirect |
| 4. C2×#13063253 | C2 | semidirect |
| 5. #14582801 | C2 | semidirect |
| 6. #14582667 | C2 | semidirect |
| 7. C2×#104×C43 | C2 | semidirect |
| 55. C2×D172 | D4 | semidirect |
| 59. M16×C43 | D4 | semidirect |
| 72. #10621877 | D4 | semidirect |
| 157. C2×#104 | D43 | semidirect |
| 160. C43 | #2006 | semidirect |
| 218. M16 | C22⋊D43 | semidirect |