Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
256 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 85 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. C2×#13063261 | C2 | semidirect |
| 3. #14582713 | C2 | direct (N × H) |
| 4. C2×M32×C43 | C2 | semidirect |
| 14. #13063261 | C22 | semidirect |
| 17. M32×C43 | C22 | semidirect |
| 76. C2×C43 | #361 | semidirect |
| 80. C2×M32 | D43 | semidirect |
| 83. C43 | C2×#361 | semidirect |
| 94. M32 | C2×D43 | semidirect |
| 155. C2 | #14582713 | direct (N × H) |