Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
208 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 208 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19098913 | C2 | semidirect |
| 3. #19098773 | C2 | semidirect |
| 4. #19098312 | C2 | semidirect |
| 5. Q8⋊(C79⋊C8) | C2 | semidirect |
| 53. D4×C79 | Q16 | semidirect |
| 89. C79 | #1644 | semidirect |
| 144. D4 | #11929614 | semidirect |