Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
166 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 4. #14582651 | C2 | semidirect |
| 5. #14582650 | C2 | semidirect |
| 6. #14582649 | C2 | semidirect |
| 7. C43×#335 | C2 | semidirect |
| 56. C8×C43 | M16 | semidirect |
| 60. C43⋊C8 | M16 | semidirect |
| 82. #335 | D43 | semidirect |
| 85. C43 | #1569 | semidirect |
| 138. C8 | #10621872 | semidirect |