Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
114 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 35 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 |
|---|---|---|
| 2. C22⋊(C83⋊C16) | C2 | semidirect |
| 3. #341×C83 | C2 | semidirect |
| 54. C83 | #1349 | semidirect |
| 57. #341 | D83 | semidirect |