Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
424 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 165 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. #19098968 | C2 | semidirect |
| 3. #19098967 | C2 | semidirect |
| 4. #19098966 | C2 | semidirect |
| 7. #500×C79 | C2 | semidirect |
| 32. C8×D79 | Q8 | semidirect |
| 61. C8×C79 | C2×Q8 | semidirect |
| 62. C79⋊C8 | C2×Q8 | semidirect |
| 78. D79 | #500 | direct (N × H) |
| 80. C79 | C2×#500 | semidirect |
| 85. #500 | D79 | direct (N × H) |
| 142. C8 | Q8×D79 | semidirect |