Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
344 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19127754 | C2 | semidirect |
| 2. #19127725 | C2 | semidirect |
| 3. #19127445 | C2 | semidirect |
| 7. C4⋊(C83⋊C8) | C22 | semidirect |
| 8. C4⋊(C83⋊C8) | C22 | semidirect |
| 85. C83 | #1545 | semidirect |