Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19127758 | C2 | semidirect |
| 3. #19127448 | C2 | semidirect |
| 4. #19127444 | C2 | semidirect |
| 5. #431×C83 | C2 | semidirect |
| 81. C83 | #1553 | semidirect |
| 84. #431 | D83 | semidirect |