Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
612 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 205 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 |
|---|---|---|
| 3. #19098470 | C2 | semidirect |
| 5. #19098454 | C2 | semidirect |
| 6. #19098434 | C2 | semidirect |
| 7. #19098432 | C2 | semidirect |
| 8. #19098409 | C2 | semidirect |
| 9. C2×C4×Q8×C79 | C2 | semidirect |
| 12. #14579150 | C4 | semidirect |
| 43. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 45. C4×Dic79 | C2×C4 | semidirect |
| 48. C2×Q8×C79 | C2×C4 | semidirect |
| 112. C79 | #2326 | semidirect |
| 114. C2×C4×Q8 | D79 | semidirect |
| 145. C2×Q8 | C4×D79 | semidirect |