Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
114 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 31 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 |
|---|---|---|
| 2. #14582656 | C2 | semidirect |
| 3. C43×#349 | C2 | semidirect |
| 4. C2×D344 | C4 | semidirect |
| 7. #13063257 | C4 | semidirect |
| 54. #349 | D43 | semidirect |
| 56. C43 | #1339 | semidirect |