Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
154 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 45 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. #19099003 | C2 | semidirect |
| 2. #19098946 | C2 | semidirect |
| 3. #19098680 | C2 | semidirect |
| 4. #19098383 | C2 | semidirect |
| 5. #19098380 | C2 | semidirect |
| 6. #19098376 | C2 | semidirect |
| 75. C79 | #2212 | semidirect |