Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
510 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×#10621882 | C2 | semidirect |
| 2. C2×#13063322 | C2 | semidirect |
| 3. C2×#13063245 | C2 | semidirect |
| 4. #14582654 | C2 | semidirect |
| 5. C43×#390 | C2 | semidirect |
| 23. C2×D4×C43 | D4 | semidirect |
| 42. C2×C43⋊C8 | D4 | semidirect |
| 60. C2×C4×C43 | D8 | semidirect |
| 101. #390 | D43 | semidirect |
| 103. C43 | #2011 | semidirect |
| 130. C2×D4 | D172 | semidirect |
| 163. C2×C4 | #10621882 | semidirect |