Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
652 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 2. C2×#14579126 | C2 | semidirect |
| 4. #19098469 | C2 | semidirect |
| 5. #19098451 | C2 | semidirect |
| 6. #19098428 | C2 | semidirect |
| 7. C22⋊C4×Dic79 | C2 | semidirect |
| 8. C42×Dic79 | C2 | semidirect |
| 12. #14579148 | C4 | semidirect |
| 32. C2×Dic158 | C2×C4 | semidirect |
| 43. C22⋊Dic79 | C2×C4 | semidirect |
| 47. C4×Dic79 | C2×C4 | semidirect |
| 105. Dic79 | #124 | semidirect |
| 113. C79 | C4×#124 | semidirect |