Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 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 |
|---|---|---|
| 4. #14582660 | C2 | semidirect |
| 5. #14582658 | C2 | semidirect |
| 6. #14582655 | C2 | semidirect |
| 7. C43×H(3,ℤ/4) | C2 | semidirect |
| 14. #13063282 | C4 | semidirect |
| 16. C42×D43 | C4 | semidirect |
| 109. H(3,ℤ/4) | D43 | semidirect |
| 110. C43 | #1827 | semidirect |