Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19127754 | C2 | semidirect |
| 3. #19127430 | C2 | semidirect |
| 4. #431×C83 | C2 | semidirect |
| 13. C4⋊(C83⋊C8) | C22 | semidirect |
| 19. C4×C8×C83 | C22 | semidirect |
| 23. C2×D332 | C8 | semidirect |
| 88. C83 | #1478 | semidirect |
| 91. #431 | D83 | semidirect |
| 107. C4×C8 | C2×D83 | semidirect |