Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
572 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 137 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. C2×#14579193 | C2 | semidirect |
| 2. C2×#14579188 | C2 | semidirect |
| 3. #19099114 | C2 | semidirect |
| 4. #124×D79 | C2 | semidirect |
| 5. #19098955 | C2 | semidirect |
| 6. #19098953 | C2 | semidirect |
| 7. #19098952 | C2 | semidirect |
| 8. #19098948 | C2 | semidirect |
| 9. #19098944 | C2 | semidirect |
| 10. #19098515 | C2 | semidirect |
| 11. #497×C79 | C2 | semidirect |
| 17. C2×#11929614 | C22 | semidirect |
| 18. C2×#11929613 | C22 | semidirect |
| 20. C2×#11929611 | C22 | semidirect |
| 24. #14579158 | C22 | semidirect |
| 26. #14579150 | C22 | semidirect |
| 34. #14579072 | C22 | semidirect |
| 35. C8×Dic79 | C22 | semidirect |
| 36. C2×Q16×C79 | C22 | semidirect |
| 38. C4⋊Q8×C79 | C22 | semidirect |
| 40. #97×C79 | C22 | semidirect |
| 63. #11929607 | D4 | semidirect |
| 135. C79 | #3153 | semidirect |
| 141. #497 | D79 | semidirect |
| 153. C2×Q16 | C2×D79 | semidirect |
| 161. C4⋊Q8 | C2×D79 | semidirect |
| 174. #97 | C2×D79 | semidirect |