Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
310 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19099329 | C2 | semidirect |
| 3. #19098580 | C2 | semidirect |
| 4. #19098560 | C2 | semidirect |
| 5. #19098334 | C2 | semidirect |
| 6. #19098328 | C2 | semidirect |
| 7. #408×C79 | C2 | semidirect |
| 9. #14579192 | C4 | semidirect |
| 11. #14579187 | C4 | semidirect |
| 119. C79 | #1881 | semidirect |
| 124. #408 | D79 | semidirect |