Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
326 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19098606 | C2 | semidirect |
| 2. C2×#14579088 | C2 | semidirect |
| 3. #19098564 | C2 | semidirect |
| 4. C2×#14579078 | C2 | semidirect |
| 5. #19098466 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 32. #11929608 | D4 | semidirect |
| 131. C79 | #2037 | semidirect |