Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
230 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19127758 | C2 | semidirect |
| 2. C2×C4×C83⋊C8 | C2 | semidirect |
| 3. Q8⋊(C83⋊C8) | C2 | semidirect |
| 4. D4⋊(C83⋊C8) | C2 | semidirect |
| 91. C83 | #1494 | semidirect |