Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 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×Q16×D79 | C2 | semidirect |
| 4. #19098942 | C2 | semidirect |
| 5. #19098803 | C2 | semidirect |
| 6. #19098774 | C2 | semidirect |
| 7. #19098720 | C2 | semidirect |
| 8. #19098717 | C2 | semidirect |
| 9. C4×#11929614 | C2 | semidirect |
| 11. #462×C79 | C2 | semidirect |
| 57. #11929614 | D4 | semidirect |
| 97. D316 | Q16 | semidirect |
| 114. C2×D79 | C2×Q16 | semidirect |
| 119. C4×C79 | C2×Q16 | semidirect |
| 131. C79 | D4×Q16 | semidirect |
| 138. #462 | D79 | semidirect |
| 254. C4 | Q16×D79 | semidirect |