Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
230 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 51 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×#14579180 | C2 | semidirect |
| 2. C2×#14579105 | C2 | semidirect |
| 3. #19098796 | C2 | semidirect |
| 4. #19098368 | C2 | semidirect |
| 5. #19098364 | C2 | semidirect |
| 6. (C2×D79)⋊C16 | C2 | semidirect |
| 7. C2×D16×C79 | C2 | semidirect |
| 31. Dic316 | D4 | semidirect |
| 44. D8×C79 | D4 | semidirect |
| 90. C79 | #2186 | semidirect |
| 93. C2×D16 | D79 | semidirect |
| 128. D8 | C22⋊D79 | semidirect |