Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 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×#14579181 | C2 | semidirect |
| 2. #19099113 | C2 | semidirect |
| 3. #19098958 | C2 | semidirect |
| 4. #19098955 | C2 | semidirect |
| 5. #19098953 | C2 | semidirect |
| 6. #19098950 | C2 | semidirect |
| 7. C2×#14579072 | C2 | semidirect |
| 8. #532×C79 | C2 | semidirect |
| 40. C2×C79⋊C8 | D4 | semidirect |
| 98. C79 | #3150 | semidirect |
| 101. #532 | D79 | semidirect |