Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
476 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×#14579193 | C2 | semidirect |
| 2. #19099225 | C2 | semidirect |
| 3. #19098947 | C2 | semidirect |
| 4. #19098810 | C2 | semidirect |
| 5. #19098785 | C2 | semidirect |
| 6. #19098720 | C2 | semidirect |
| 7. #19098711 | C2 | semidirect |
| 8. #19098642 | C2 | semidirect |
| 9. C4×Q16×C79 | C2 | semidirect |
| 64. Q16×C79 | D4 | semidirect |
| 118. C79 | #3277 | semidirect |
| 126. C4×Q16 | D79 | semidirect |
| 170. Q16 | D316 | semidirect |