Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
482 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 125 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×#14579190 | C2 | semidirect |
| 3. Q8×D316 | C2 | semidirect |
| 4. #19098935 | C2 | semidirect |
| 5. #19098808 | C2 | semidirect |
| 6. #19098774 | C2 | semidirect |
| 7. #19098726 | C2 | semidirect |
| 8. #19098700 | C2 | semidirect |
| 9. C4×#11929614 | C2 | semidirect |
| 10. #19098640 | C2 | semidirect |
| 11. #460×C79 | C2 | semidirect |
| 56. #11929614 | D4 | semidirect |
| 124. C4×C79 | #137 | semidirect |
| 137. C79 | #3278 | semidirect |
| 144. #460 | D79 | semidirect |
| 265. C4 | #14579190 | semidirect |