Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
380 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 3. #19098973 | C2 | semidirect |
| 4. #19098972 | C2 | semidirect |
| 5. #19098969 | C2 | semidirect |
| 6. #19098967 | C2 | semidirect |
| 7. #19098960 | C2 | semidirect |
| 11. #501×C79 | C2 | semidirect |
| 52. #11929607 | Q8 | semidirect |
| 102. C8×C79 | C2×Q8 | semidirect |
| 103. C79⋊C8 | C2×Q8 | semidirect |
| 125. C79 | #3165 | semidirect |
| 131. #501 | D79 | semidirect |
| 228. C8 | Q8×D79 | semidirect |