Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
320 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 49 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. #19099153 | C2 | semidirect |
| 2. #19098697 | C2 | semidirect |
| 3. #19098471 | C2 | semidirect |
| 4. #19098300 | C2 | semidirect |
| 5. #19098298 | C2 | semidirect |
| 6. #19098286 | C2 | semidirect |
| 7. #450×C79 | C2 | semidirect |
| 30. C2×D316 | D4 | semidirect |
| 40. C4⋊Dic79 | D4 | semidirect |
| 51. C2×Q8×C79 | D4 | semidirect |
| 59. C4⋊C4×C79 | D4 | semidirect |
| 136. C79 | #1600 | semidirect |
| 138. #450 | D79 | semidirect |
| 165. C2×Q8 | C22⋊D79 | semidirect |
| 187. C4⋊C4 | C22⋊D79 | semidirect |