Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
204 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19098940 | C2 | semidirect |
| 2. #19098758 | C2 | semidirect |
| 3. #19098316 | C2 | semidirect |
| 4. #19098306 | C2 | semidirect |
| 5. C8×D4×C79 | C2 | semidirect |
| 36. D4×C79 | D8 | semidirect |
| 50. C8×C79 | D8 | semidirect |
| 71. C79 | #1667 | semidirect |
| 74. C8×D4 | D79 | semidirect |
| 112. D4 | D632 | semidirect |
| 122. C8 | #11929609 | semidirect |