Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
836 conjugacy classes of subgroups; only the 169 normal subgroups are shown.
This group has 836 conjugacy classes of subgroups — too many to draw. Only its 169 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×#14579159 | C2 | semidirect |
| 3. C2×#14579137 | C2 | semidirect |
| 4. #19098478 | C2 | semidirect |
| 5. #19098469 | C2 | semidirect |
| 6. #19098466 | C2 | semidirect |
| 7. #19098435 | C2 | semidirect |
| 8. C4×(C2×D79)⋊C4 | C2 | semidirect |
| 9. C2×#124×C79 | C2 | semidirect |
| 104. C2×Dic79 | #41 | semidirect |
| 137. C79 | #2432 | semidirect |
| 140. C2×#124 | D79 | semidirect |