Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#14579184 | C2 | semidirect |
| 2. #19099235 | C2 | semidirect |
| 3. #19098940 | C2 | semidirect |
| 4. #19098800 | C2 | semidirect |
| 5. #19098763 | C2 | semidirect |
| 6. #19098711 | C2 | semidirect |
| 7. C8×D316 | C2 | semidirect |
| 8. C4×Q16×C79 | C2 | semidirect |
| 48. Q16×C79 | D4 | semidirect |
| 88. C4×C79 | #135 | semidirect |
| 98. C79 | #3287 | semidirect |
| 105. C4×Q16 | D79 | semidirect |
| 138. Q16 | D316 | semidirect |
| 187. C4 | #14579184 | semidirect |