Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 1. #19099270 | C2 | semidirect |
| 2. #19098959 | C2 | semidirect |
| 3. #19098893 | C2 | semidirect |
| 4. #19098879 | C2 | semidirect |
| 5. #19098853 | C2 | semidirect |
| 6. #19098845 | C2 | semidirect |
| 7. #19098790 | C2 | semidirect |
| 8. C4×#11929612 | C2 | semidirect |
| 9. D4×C79⋊C8 | C2 | semidirect |
| 10. C2×#14579092 | C2 | semidirect |
| 80. D4×C79 | SD16 | semidirect |
| 100. C79⋊C8 | #41 | semidirect |
| 124. C79 | #3335 | semidirect |
| 207. D4 | #11929612 | semidirect |