Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
234 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 2. #19098961 | C2 | semidirect |
| 3. #19098848 | C2 | semidirect |
| 5. #19098308 | C2 | semidirect |
| 7. Q8⋊C8×C79 | C2 | semidirect |
| 52. Q8×C79 | SD16 | semidirect |
| 93. C79 | #1651 | semidirect |
| 99. Q8⋊C8 | D79 | semidirect |
| 150. Q8 | #11929613 | semidirect |