Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
174 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
|---|---|---|
| 1. C2×#13063266 | C2 | semidirect |
| 2. C22×C43⋊C16 | C2 | semidirect |
| 3. #14583135 | C2 | semidirect |
| 4. #14582724 | C2 | semidirect |
| 5. #14582700 | C2 | semidirect |
| 6. #14582699 | C2 | semidirect |
| 7. C43×#466 | C2 | semidirect |
| 39. C43⋊C16 | D4 | semidirect |
| 63. C22×C43 | D16 | semidirect |
| 83. #466 | D43 | semidirect |
| 87. C43 | #2215 | semidirect |
| 146. C22 | #13063266 | semidirect |