Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
280 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 10. #13063256 | C4 | direct (N × H) |
| 11. C4×C43⋊C8 | C4 | semidirect |
| 51. C43⋊C8 | C42 | semidirect |
| 59. C4×C43 | #106 | semidirect |
| 75. C43 | C4×#106 | semidirect |
| 130. C4 | #13063256 | direct (N × H) |