Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
534 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 534 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×#14579155 | C2 | semidirect |
| 2. C2×#14579149 | C2 | semidirect |
| 3. #19098485 | C2 | semidirect |
| 4. #19098484 | C2 | semidirect |
| 5. #19098481 | C2 | semidirect |
| 6. #19098480 | C2 | semidirect |
| 7. #19098476 | C2 | semidirect |
| 9. #19098465 | C2 | semidirect |
| 10. #19098454 | C2 | semidirect |
| 11. C4×C4⋊C4×C79 | C2 | semidirect |
| 70. C42×C79 | D4 | semidirect |
| 144. C79 | #2662 | semidirect |
| 155. C4×C4⋊C4 | D79 | semidirect |
| 214. C42 | D316 | semidirect |