Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
424 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 121 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. C4×Q8×D79 | C2 | semidirect |
| 3. #19098875 | C2 | semidirect |
| 4. #19098859 | C2 | semidirect |
| 5. #19098858 | C2 | semidirect |
| 6. #19098760 | C2 | semidirect |
| 7. #19098700 | C2 | semidirect |
| 8. #19098664 | C2 | semidirect |
| 9. #19098660 | C2 | semidirect |
| 10. #19098619 | C2 | semidirect |
| 11. #460×C79 | C2 | semidirect |
| 86. Q8×C79 | #41 | semidirect |
| 113. Dic158 | #41 | semidirect |
| 141. C79 | #3112 | semidirect |
| 148. #460 | D79 | semidirect |
| 231. Q8 | #11929623 | semidirect |