Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
420 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19099217 | C2 | semidirect |
| 2. #19098968 | C2 | semidirect |
| 3. #19098877 | C2 | semidirect |
| 4. #19098844 | C2 | semidirect |
| 5. #19098799 | C2 | semidirect |
| 6. C4×D632 | C2 | semidirect |
| 7. C2×#14579095 | C2 | semidirect |
| 8. C8×D4×C79 | C2 | semidirect |
| 52. D4×C79 | D8 | semidirect |
| 69. C8×C79 | #41 | semidirect |
| 90. C79 | #3334 | semidirect |
| 97. C8×D4 | D79 | semidirect |
| 146. D4 | D632 | semidirect |
| 159. C8 | #11929623 | semidirect |