Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
510 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 95 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×#11929609 | C2 | semidirect |
| 2. C2×#14579157 | C2 | semidirect |
| 3. C2×#14579083 | C2 | semidirect |
| 4. C2×#14579082 | C2 | semidirect |
| 5. #19098466 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. C22×D8×C79 | C2 | semidirect |
| 42. C2×C79⋊C8 | D4 | semidirect |
| 61. C2×D4×C79 | D4 | semidirect |
| 66. C2×C8×C79 | D4 | semidirect |
| 102. C2×Dic79 | D8 | semidirect |
| 144. C79 | #2011 | semidirect |
| 146. C22×D8 | D79 | semidirect |
| 194. C2×D4 | C22⋊D79 | semidirect |
| 205. C2×C8 | C22⋊D79 | semidirect |