Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
436 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14579161 | C2 | semidirect |
| 3. #19098923 | C2 | direct (N × H) |
| 4. C2×#14579086 | C2 | semidirect |
| 6. C2×#97×C79 | C2 | semidirect |
| 11. #14579161 | C22 | semidirect |
| 18. #14579086 | C22 | semidirect |
| 22. #97×C79 | C22 | semidirect |
| 82. C2×C79 | #489 | semidirect |
| 88. C79 | C2×#489 | semidirect |
| 94. C2×#97 | D79 | semidirect |
| 110. #97 | C2×D79 | semidirect |
| 171. C2 | #19098923 | direct (N × H) |