Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
512 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 3. #19098460 | C2 | semidirect |
| 4. #19098457 | C2 | semidirect |
| 5. #19098451 | C2 | semidirect |
| 6. #19098445 | C2 | semidirect |
| 7. #19098436 | C2 | semidirect |
| 8. #19098421 | C2 | semidirect |
| 11. #14579142 | C4 | semidirect |
| 34. C22×Dic79 | C2×C4 | semidirect |
| 43. Dic79⋊C4 | C2×C4 | semidirect |
| 47. C22⋊Dic79 | C2×C4 | semidirect |
| 127. C79 | #2376 | semidirect |