Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19098599 | C2 | semidirect |
| 3. #19098579 | C2 | semidirect |
| 4. #19098537 | C2 | semidirect |
| 5. #19098536 | C2 | semidirect |
| 6. #19098521 | C2 | semidirect |
| 7. #421×C79 | C2 | semidirect |
| 13. C2×#11929614 | C4 | semidirect |
| 14. C2×#11929612 | C4 | semidirect |
| 15. C2×#11929611 | C4 | semidirect |
| 16. C2×#11929609 | C4 | semidirect |
| 133. C79 | #1976 | semidirect |
| 137. #421 | D79 | semidirect |