Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
356 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 139 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. #19098966 | C2 | semidirect |
| 3. #19098898 | C2 | semidirect |
| 4. #19098896 | C2 | semidirect |
| 5. #19098858 | C2 | semidirect |
| 6. #19098855 | C2 | semidirect |
| 7. #19098802 | C2 | semidirect |
| 8. C4×#11929614 | C2 | semidirect |
| 10. C2×#14579094 | C2 | semidirect |
| 77. D4×C79 | Q16 | semidirect |
| 118. C79 | #3338 | semidirect |
| 198. D4 | #11929614 | semidirect |