Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
568 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 161 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. #19098502 | C2 | semidirect |
| 3. #19098489 | C2 | semidirect |
| 5. #19098474 | C2 | semidirect |
| 6. C4×(C2×D79)⋊C4 | C2 | semidirect |
| 7. #19098409 | C2 | semidirect |
| 8. C2×C4×Q8×C79 | C2 | semidirect |
| 97. C79 | #2398 | semidirect |
| 98. C2×C4×Q8 | D79 | semidirect |