Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
144 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 49 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×#14579106 | C2 | semidirect |
| 2. #19098838 | C2 | semidirect |
| 4. #19098393 | C2 | semidirect |
| 5. #19098380 | C2 | semidirect |
| 6. #19098377 | C2 | semidirect |
| 7. #504×C79 | C2 | semidirect |
| 72. C79 | #2223 | semidirect |
| 74. #504 | D79 | semidirect |