Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
248 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14582631 | C2 | semidirect |
| 5. Q8⋊(C43⋊C8) | C2 | semidirect |
| 6. #14582629 | C2 | semidirect |
| 7. C43×Q8⋊C8 | C2 | semidirect |
| 59. Q8×C43 | M16 | semidirect |
| 79. Dic86 | M16 | semidirect |
| 111. Q8⋊C8 | D43 | semidirect |
| 112. C43 | #1487 | semidirect |
| 167. Q8 | #10621872 | semidirect |