Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
380 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19099363 | C2 | semidirect |
| 2. C2×#14579187 | C2 | semidirect |
| 3. #19099130 | C2 | semidirect |
| 4. #19098581 | C2 | semidirect |
| 5. #19098536 | C2 | semidirect |
| 6. #19098334 | C2 | semidirect |
| 7. #418×C79 | C2 | semidirect |
| 40. C2×Dic158 | D4 | semidirect |
| 42. C2×D316 | D4 | semidirect |
| 55. #11929608 | D4 | semidirect |
| 71. C2×C8×C79 | D4 | semidirect |
| 143. C79 | #2008 | semidirect |
| 148. #418 | D79 | semidirect |
| 210. C2×C8 | C22⋊D79 | semidirect |