Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
428 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 141 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×C4×Dic158 | C2 | semidirect |
| 3. #19098882 | C2 | semidirect |
| 4. #19098849 | C2 | semidirect |
| 5. #19098764 | C2 | semidirect |
| 6. #19098704 | C2 | semidirect |
| 7. C4×#11929613 | C2 | semidirect |
| 8. #431×C79 | C2 | semidirect |
| 68. C2×C4×C79 | SD16 | semidirect |
| 88. Dic158 | #41 | semidirect |
| 112. C79 | #3103 | semidirect |
| 120. #431 | D79 | semidirect |
| 194. C2×C4 | #11929613 | semidirect |