Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
516 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 516 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. #19098447 | C2 | semidirect |
| 4. #19098431 | C2 | semidirect |
| 5. C4×Dic79⋊C4 | C2 | semidirect |
| 7. C43×C79 | C2 | semidirect |
| 9. #14579155 | C4 | direct (N × H) |
| 28. Dic79⋊C4 | C2×C4 | semidirect |
| 37. C42×C79 | C2×C4 | semidirect |
| 65. C4×C79 | #126 | semidirect |
| 74. C79 | C4×#126 | semidirect |
| 81. C43 | D79 | semidirect |
| 111. C42 | C4×D79 | semidirect |
| 142. C4 | #14579155 | direct (N × H) |