Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
272 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 272 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 |
|---|---|---|
| 13. #13063258 | C4 | semidirect |
| 14. #13063256 | C4 | semidirect |
| 15. #13063236 | C4 | semidirect |
| 73. C43⋊C8 | C42 | semidirect |
| 106. C43 | #1776 | semidirect |