Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
652 conjugacy classes of subgroups; only the 209 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 209 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. #19098468 | C2 | semidirect |
| 6. #19098452 | C2 | semidirect |
| 7. #19098410 | C2 | semidirect |
| 8. C42×Dic79 | C2 | semidirect |
| 9. #382×C79 | C2 | semidirect |
| 13. #14579149 | C4 | semidirect |
| 33. C2×Dic158 | C2×C4 | semidirect |
| 46. (C2×D79)⋊C4 | C2×C4 | semidirect |
| 58. C42×C79 | C2×C4 | semidirect |
| 105. Dic79 | #124 | semidirect |
| 113. C79 | C4×#124 | semidirect |
| 120. #382 | D79 | semidirect |
| 171. C42 | C4×D79 | semidirect |