Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
182 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 63 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. C8×D172 | C2 | semidirect |
| 3. #14582649 | C2 | semidirect |
| 4. D4⋊(C43⋊C8) | C2 | semidirect |
| 5. #14582626 | C2 | semidirect |
| 6. #14582621 | C2 | semidirect |
| 7. C43×#436 | C2 | semidirect |
| 54. D172 | M16 | semidirect |
| 85. #436 | D43 | semidirect |
| 91. C43 | #1586 | semidirect |