Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19099376 | C2 | semidirect |
| 2. #19099005 | C2 | semidirect |
| 3. #19099004 | C2 | semidirect |
| 4. #19098996 | C2 | semidirect |
| 5. #19098995 | C2 | semidirect |
| 6. Q32×D79 | C2 | semidirect |
| 7. #19098979 | C2 | semidirect |
| 8. C2×Q32×C79 | C2 | semidirect |
| 82. C79 | #3417 | semidirect |
| 89. C2×Q32 | D79 | semidirect |