Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
478 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 75 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. #14583468 | C2 | semidirect |
| 3. C2×#13063322 | C2 | semidirect |
| 4. C2×#13063253 | C2 | semidirect |
| 5. #14582903 | C2 | semidirect |
| 6. C2×#13063241 | C2 | semidirect |
| 7. C43×#339 | C2 | semidirect |
| 52. C2×D172 | D4 | semidirect |
| 53. C2×D172 | D4 | semidirect |
| 55. C2×Dic86 | D4 | semidirect |
| 57. M16×C43 | D4 | semidirect |
| 59. C4⋊C4×C43 | D4 | semidirect |
| 63. C42×C43 | D4 | semidirect |
| 145. #339 | D43 | semidirect |
| 146. C43 | #2002 | semidirect |
| 200. M16 | D172 | semidirect |
| 203. C4⋊C4 | D172 | semidirect |
| 208. C42 | D172 | semidirect |