Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
500 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 197 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. C2×#14579167 | C2 | semidirect |
| 3. #19098642 | C2 | semidirect |
| 4. C8×D316 | C2 | semidirect |
| 5. #19098587 | C2 | semidirect |
| 6. #19098529 | C2 | semidirect |
| 7. C2×C4×C8×C79 | C2 | semidirect |
| 41. C2×C8×C79 | D4 | semidirect |
| 75. C4×C79 | #131 | semidirect |
| 84. C79 | #2931 | semidirect |
| 91. C2×C4×C8 | D79 | semidirect |
| 123. C2×C8 | D316 | semidirect |
| 160. C4 | #14579167 | semidirect |