Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
102 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 102 conjugacy classes of subgroups — too many to draw. Only its 39 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. #19127452 | C2 | semidirect |
| 3. C4⋊C16×C83 | C2 | semidirect |
| 51. C83 | #1360 | semidirect |
| 53. C4⋊C16 | D83 | semidirect |