Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 131 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×#14579184 | C2 | semidirect |
| 2. C2×Q16×D79 | C2 | semidirect |
| 3. #19099225 | C2 | semidirect |
| 4. #19098947 | C2 | semidirect |
| 5. #19098805 | C2 | semidirect |
| 6. #19098800 | C2 | semidirect |
| 7. #19098785 | C2 | semidirect |
| 8. #19098728 | C2 | semidirect |
| 9. #19098703 | C2 | semidirect |
| 10. C8×D316 | C2 | semidirect |
| 11. C4×Q16×C79 | C2 | semidirect |
| 73. Q16×C79 | D4 | semidirect |
| 120. C2×D79 | #135 | semidirect |
| 137. C79 | #3285 | semidirect |
| 147. C4×Q16 | D79 | semidirect |
| 195. Q16 | D316 | semidirect |