Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
482 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 3. Q8×D316 | C2 | semidirect |
| 4. #19098936 | C2 | semidirect |
| 5. #19098810 | C2 | semidirect |
| 6. #19098773 | C2 | semidirect |
| 7. #19098763 | C2 | semidirect |
| 8. #19098728 | C2 | semidirect |
| 9. #19098703 | C2 | semidirect |
| 10. #19098642 | C2 | semidirect |
| 11. C4×Q16×C79 | C2 | semidirect |
| 72. Q16×C79 | D4 | semidirect |
| 126. C4×C79 | #137 | semidirect |
| 137. C79 | #3278 | semidirect |
| 147. C4×Q16 | D79 | semidirect |
| 197. Q16 | D316 | semidirect |
| 265. C4 | #14579193 | semidirect |