Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14579181 | C2 | semidirect |
| 2. C2×#14579169 | C2 | semidirect |
| 3. #19099144 | C2 | semidirect |
| 4. #19099141 | C2 | semidirect |
| 5. #19098812 | C2 | semidirect |
| 6. #19098808 | C2 | semidirect |
| 7. #19098803 | C2 | semidirect |
| 8. #19098798 | C2 | semidirect |
| 9. C2×#14579094 | C2 | semidirect |
| 10. #19098565 | C2 | semidirect |
| 11. #417×C79 | C2 | semidirect |
| 63. C2×C79⋊C8 | D4 | semidirect |
| 153. C79 | #3061 | semidirect |
| 164. #417 | D79 | semidirect |