Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 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 |
|---|---|---|
| 3. #19098315 | C2 | semidirect |
| 4. Q8⋊(C79⋊C8) | C2 | semidirect |
| 6. #19098285 | C2 | semidirect |
| 7. #446×C79 | C2 | semidirect |
| 60. C79⋊C8 | M16 | semidirect |
| 78. C79 | #1592 | semidirect |
| 79. #446 | D79 | semidirect |