Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
382 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19099139 | C2 | semidirect |
| 3. C2×#14579148 | C2 | semidirect |
| 4. C2×#14579087 | C2 | semidirect |
| 5. C2×#14579079 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 7. #418×C79 | C2 | semidirect |
| 131. C79 | #2003 | semidirect |
| 136. #418 | D79 | semidirect |