Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
436 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 436 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×#14579160 | C2 | semidirect |
| 3. #19098921 | C2 | direct (N × H) |
| 4. C2×#14579086 | C2 | semidirect |
| 5. C2×#14579084 | C2 | semidirect |
| 7. C2×#14579071 | C2 | semidirect |
| 13. #14579160 | C22 | semidirect |
| 21. #14579086 | C22 | semidirect |
| 22. #14579084 | C22 | semidirect |
| 24. #14579071 | C22 | semidirect |
| 104. C2×C79 | #489 | semidirect |
| 109. C79 | C2×#489 | semidirect |
| 213. C2 | #19098921 | direct (N × H) |