Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
332 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 77 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. #19127444 | C2 | semidirect |
| 4. #432×C83 | C2 | semidirect |
| 12. C4⋊(C83⋊C8) | C22 | semidirect |
| 16. C4⋊C8×C83 | C22 | semidirect |
| 80. C83 | #1555 | semidirect |
| 83. #432 | D83 | semidirect |
| 94. C4⋊C8 | C2×D83 | semidirect |