Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
456 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19099111 | C2 | semidirect |
| 2. #19098968 | C2 | semidirect |
| 3. #19098909 | C2 | semidirect |
| 4. #19098796 | C2 | semidirect |
| 5. D8×Dic79 | C2 | semidirect |
| 6. C4×C8×D79 | C2 | semidirect |
| 7. #493×C79 | C2 | semidirect |
| 62. C4×D79 | D8 | semidirect |
| 64. C8×C79 | #41 | semidirect |
| 86. C79 | #3169 | semidirect |
| 89. #493 | D79 | semidirect |
| 151. C8 | #11929623 | semidirect |