Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
572 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 572 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×#14579184 | C2 | semidirect |
| 2. C2×#14579182 | C2 | semidirect |
| 3. C2×#14579180 | C2 | semidirect |
| 4. #19099112 | C2 | semidirect |
| 5. #19098947 | C2 | semidirect |
| 6. #19098945 | C2 | semidirect |
| 7. #19098941 | C2 | semidirect |
| 8. #19098938 | C2 | semidirect |
| 9. #19098934 | C2 | semidirect |
| 10. C4×C8×D79 | C2 | semidirect |
| 11. #495×C79 | C2 | semidirect |
| 62. C8×D79 | D4 | semidirect |
| 63. C8×D79 | D4 | semidirect |
| 119. Dic79 | #135 | semidirect |
| 126. C79 | #3147 | semidirect |
| 133. #495 | D79 | semidirect |