Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
166 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19098694 | C2 | semidirect |
| 3. #19098314 | C2 | semidirect |
| 4. Q8⋊(C79⋊C8) | C2 | semidirect |
| 6. C8×C79⋊C8 | C2 | semidirect |
| 55. C8×C79 | M16 | semidirect |
| 60. C79⋊C8 | SD16 | semidirect |
| 78. C79 | #1590 | semidirect |
| 138. C8 | #11929608 | semidirect |