Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
552 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 552 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 |
|---|---|---|
| 1. C2×#14579193 | C2 | semidirect |
| 2. C2×#14579190 | C2 | semidirect |
| 4. C4⋊Q8×D79 | C2 | semidirect |
| 5. #19098958 | C2 | semidirect |
| 6. #19098957 | C2 | semidirect |
| 7. #19098955 | C2 | semidirect |
| 8. #19098941 | C2 | semidirect |
| 9. #19098934 | C2 | semidirect |
| 10. #19098515 | C2 | semidirect |
| 11. #497×C79 | C2 | semidirect |
| 63. #11929607 | D4 | semidirect |
| 124. Dic79 | #137 | semidirect |
| 131. C79 | #3152 | semidirect |
| 139. #497 | D79 | semidirect |