Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
434 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 129 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. #14583449 | C2 | semidirect |
| 2. C4×#10621898 | C2 | semidirect |
| 3. #14583224 | C2 | semidirect |
| 4. #14583195 | C2 | semidirect |
| 5. #14583190 | C2 | semidirect |
| 6. #14583100 | C2 | semidirect |
| 7. #14583095 | C2 | semidirect |
| 8. #14583046 | C2 | semidirect |
| 9. C4×#10621873 | C2 | semidirect |
| 10. C4×D344 | C2 | semidirect |
| 11. C43×#431 | C2 | semidirect |
| 107. D172 | #41 | semidirect |
| 114. Dic86 | #41 | semidirect |
| 155. #431 | D43 | semidirect |
| 156. C43 | #3106 | semidirect |