Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
604 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 145 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×#14579118 | C2 | semidirect |
| 2. #19098501 | C2 | semidirect |
| 3. #19098498 | C2 | semidirect |
| 4. #19098477 | C2 | semidirect |
| 6. #19098451 | C2 | semidirect |
| 7. #19098442 | C2 | semidirect |
| 8. #19098439 | C2 | semidirect |
| 9. #19098436 | C2 | semidirect |
| 10. #19098431 | C2 | semidirect |
| 11. C2×C4×D4×C79 | C2 | semidirect |
| 71. C42×C79 | D4 | semidirect |
| 146. C79 | #2598 | semidirect |
| 147. C2×C4×D4 | D79 | semidirect |
| 217. C42 | C22⋊D79 | semidirect |