Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19098920 | C2 | semidirect |
| 4. #19098860 | C2 | semidirect |
| 5. #19098845 | C2 | semidirect |
| 6. #19098785 | C2 | semidirect |
| 8. Q8×C79⋊C8 | C2 | semidirect |
| 9. C4×#11929614 | C2 | semidirect |
| 10. C4×#11929611 | C2 | semidirect |
| 11. #557×C79 | C2 | semidirect |
| 118. C79 | #3365 | semidirect |
| 120. #557 | D79 | semidirect |