Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
176 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 87 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. Q8×C83⋊C8 | C2 | semidirect |
| 3. #19127454 | C2 | semidirect |
| 4. Q8⋊(C83⋊C8) | C2 | semidirect |
| 6. #19127422 | C2 | semidirect |
| 32. SD16×C83 | C8 | semidirect |
| 43. Q8×C83 | C2×C8 | semidirect |
| 55. C8×C83 | C2×C8 | semidirect |
| 78. C83 | SD16⋊C8 | semidirect |
| 104. SD16 | C83⋊C8 | semidirect |
| 121. Q8 | C2×C83⋊C8 | semidirect |
| 138. C8 | C2×C83⋊C8 | semidirect |