Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
168 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
| 4. #19098313 | C2 | semidirect |
| 6. #19098285 | C2 | semidirect |
| 7. Q8⋊C8×C79 | C2 | semidirect |
| 60. C79⋊C8 | SD16 | semidirect |
| 78. C79 | #1582 | semidirect |
| 83. Q8⋊C8 | D79 | semidirect |