Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
510 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 95 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. C22×#10621882 | C2 | semidirect |
| 2. C2×#13063321 | C2 | semidirect |
| 3. C2×#13063247 | C2 | semidirect |
| 4. C2×#13063246 | C2 | semidirect |
| 5. #14582802 | C2 | semidirect |
| 6. #14582653 | C2 | semidirect |
| 7. C22×D8×C43 | C2 | semidirect |
| 41. C2×D4×C43 | D4 | semidirect |
| 57. C2×C8×C43 | D4 | semidirect |
| 66. C2×C43⋊C8 | D4 | semidirect |
| 102. C2×Dic43 | D8 | semidirect |
| 145. C22×D8 | D43 | semidirect |
| 151. C43 | #2011 | semidirect |
| 194. C2×D4 | C22⋊D43 | semidirect |
| 205. C2×C8 | C22⋊D43 | semidirect |