Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
478 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 478 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×#13063351 | C2 | semidirect |
| 2. #14583468 | C2 | semidirect |
| 3. C2×#13063321 | C2 | semidirect |
| 4. C2×#13063251 | C2 | semidirect |
| 5. C2×#13063241 | C2 | semidirect |
| 6. #14582658 | C2 | semidirect |
| 7. C43×#418 | C2 | semidirect |
| 36. C2×D4×C43 | D4 | semidirect |
| 53. C2×D172 | D4 | semidirect |
| 55. C2×Dic86 | D4 | semidirect |
| 59. C4⋊C4×C43 | D4 | semidirect |
| 66. C4×Dic43 | D4 | semidirect |
| 68. #10621877 | D4 | semidirect |
| 143. #418 | D43 | semidirect |
| 146. C43 | #2002 | semidirect |
| 191. C2×D4 | D172 | semidirect |
| 203. C4⋊C4 | C22⋊D43 | semidirect |