Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
406 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 73 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×#14579189 | C2 | semidirect |
| 2. C2×#14579186 | C2 | semidirect |
| 3. #19099141 | C2 | semidirect |
| 4. C2×#14579089 | C2 | semidirect |
| 5. #19098465 | C2 | semidirect |
| 6. #19098331 | C2 | semidirect |
| 7. C2×#104×C79 | C2 | semidirect |
| 43. C2×D316 | D4 | semidirect |
| 53. #11929608 | D4 | semidirect |
| 72. M16×C79 | D4 | semidirect |
| 153. C79 | #2006 | semidirect |
| 158. C2×#104 | D79 | semidirect |
| 218. M16 | C22⋊D79 | semidirect |