Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
216 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19098911 | C2 | semidirect |
| 2. #19098763 | C2 | semidirect |
| 4. #19098309 | C2 | semidirect |
| 5. Q8⋊(C79⋊C8) | C2 | semidirect |
| 6. D4⋊(C79⋊C8) | C2 | semidirect |
| 7. #556×C79 | C2 | semidirect |
| 96. C79 | #1628 | semidirect |
| 97. #556 | D79 | semidirect |