Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
402 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#14579086 | C2 | semidirect |
| 4. #19098468 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 12. C2×#11929612 | C4 | semidirect |
| 31. C2×Dic158 | C2×C4 | semidirect |
| 42. C2×C79⋊C8 | C2×C4 | semidirect |
| 95. C2×Dic79 | SD16 | semidirect |
| 134. C79 | #1877 | semidirect |