Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
290 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 87 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×#14579092 | C2 | semidirect |
| 5. #19098432 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. C2×#106×C79 | C2 | semidirect |
| 101. C79 | #2094 | semidirect |
| 103. C2×#106 | D79 | semidirect |