Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 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. C2×#14579153 | C2 | semidirect |
| 3. #19098871 | C2 | semidirect |
| 4. #19098864 | C2 | semidirect |
| 5. #19098605 | C2 | semidirect |
| 7. #423×C79 | C2 | semidirect |
| 91. C79 | #3080 | semidirect |
| 97. #423 | D79 | semidirect |