Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
166 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 3. #14582649 | C2 | semidirect |
| 4. Q8⋊(C43⋊C8) | C2 | semidirect |
| 6. #14582620 | C2 | semidirect |
| 7. C8×Q8×C43 | C2 | semidirect |
| 43. Q8×C43 | M16 | semidirect |
| 56. C8×C43 | SD16 | semidirect |
| 78. C8×Q8 | D43 | semidirect |
| 85. C43 | #1583 | semidirect |
| 121. Q8 | #10621872 | semidirect |
| 138. C8 | #10621884 | semidirect |