Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
478 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 75 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×#14579186 | C2 | semidirect |
| 2. C2×#14579157 | C2 | semidirect |
| 3. C2×#14579088 | C2 | semidirect |
| 4. #19098567 | C2 | semidirect |
| 5. C2×#14579078 | C2 | semidirect |
| 6. #19098322 | C2 | semidirect |
| 7. #535×C79 | C2 | semidirect |
| 35. C2×D316 | D4 | semidirect |
| 44. #11929608 | D4 | semidirect |
| 48. C4×Dic79 | D4 | semidirect |
| 54. C2×Q8×C79 | D4 | semidirect |
| 63. C2×D4×C79 | D4 | semidirect |
| 66. C4⋊C4×C79 | D4 | semidirect |
| 139. C79 | #2002 | semidirect |
| 141. #535 | D79 | semidirect |
| 174. C2×Q8 | C22⋊D79 | semidirect |
| 191. C2×D4 | C22⋊D79 | semidirect |
| 203. C4⋊C4 | C22⋊D79 | semidirect |