Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19098485 | C2 | semidirect |
| 4. #19098474 | C2 | semidirect |
| 5. #19098470 | C2 | semidirect |
| 6. #19098454 | C2 | semidirect |
| 7. #19098453 | C2 | semidirect |
| 8. #19098444 | C2 | semidirect |
| 9. C2×C4⋊Q8×C79 | C2 | semidirect |
| 126. C79 | #2731 | semidirect |
| 127. C2×C4⋊Q8 | D79 | semidirect |