Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
372 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 123 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. #14583634 | C2 | semidirect |
| 2. #14583281 | C2 | semidirect |
| 3. #14583273 | C2 | semidirect |
| 4. #14583121 | C2 | semidirect |
| 5. #14583111 | C2 | semidirect |
| 6. #14583106 | C2 | semidirect |
| 8. Q8×C43⋊C8 | C2 | semidirect |
| 9. C4×#10621884 | C2 | semidirect |
| 10. C4×#10621883 | C2 | semidirect |
| 11. C43×#556 | C2 | semidirect |
| 127. #556 | D43 | semidirect |
| 137. C43 | #3394 | semidirect |