Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
474 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×#11929611 | C2 | semidirect |
| 3. C2×#14579081 | C2 | semidirect |
| 4. #19098318 | C2 | semidirect |
| 5. #391×C79 | C2 | semidirect |
| 31. C2×C79⋊C8 | D4 | semidirect |
| 35. C2×Q8×C79 | D4 | semidirect |
| 57. C2×C4×C79 | SD16 | semidirect |
| 90. C79 | #2014 | semidirect |
| 94. #391 | D79 | semidirect |
| 112. C2×Q8 | D316 | semidirect |
| 152. C2×C4 | #11929611 | semidirect |