Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
228 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 228 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 |
|---|---|---|
| 1. Q8×Dic158 | C2 | semidirect |
| 5. #19098311 | C2 | semidirect |
| 6. #19098295 | C2 | semidirect |
| 7. Q8⋊C8×C79 | C2 | semidirect |
| 52. Q8×C79 | SD16 | semidirect |
| 69. Dic158 | SD16 | semidirect |
| 92. C79 | #1623 | semidirect |
| 99. Q8⋊C8 | D79 | semidirect |
| 148. Q8 | #11929613 | semidirect |