Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
272 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 14. #14579094 | C4 | semidirect |
| 15. #14579092 | C4 | semidirect |
| 16. #14579071 | C4 | semidirect |
| 73. C79⋊C8 | C42 | semidirect |
| 99. C79 | #1776 | semidirect |