Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14579191 | C2 | semidirect |
| 2. C2×#14579186 | C2 | semidirect |
| 3. C2×#14579149 | C2 | semidirect |
| 4. #19098955 | C2 | semidirect |
| 5. #19098950 | C2 | semidirect |
| 6. #19098945 | C2 | semidirect |
| 7. C4×#11929608 | C2 | semidirect |
| 8. #532×C79 | C2 | semidirect |
| 13. C2×#11929614 | C22 | semidirect |
| 14. C2×#11929612 | C22 | semidirect |
| 22. #14579072 | C22 | semidirect |
| 23. C4×C79⋊C8 | C22 | semidirect |
| 25. C4⋊Q8×C79 | C22 | semidirect |
| 26. #127×C79 | C22 | semidirect |
| 27. #124×C79 | C22 | semidirect |
| 43. #11929608 | D4 | semidirect |
| 107. C79 | #3153 | semidirect |
| 110. #532 | D79 | semidirect |
| 126. C4⋊Q8 | C2×D79 | semidirect |
| 127. #127 | C2×D79 | semidirect |
| 131. #124 | C2×D79 | semidirect |