Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
668 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 181 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×#11929613 | C2 | semidirect |
| 2. C22×D632 | C2 | semidirect |
| 3. C2×#14579158 | C2 | semidirect |
| 4. C2×#14579149 | C2 | semidirect |
| 5. #19098952 | C2 | direct (N × H) |
| 6. C2×#97×C79 | C2 | semidirect |
| 12. C2×#11929613 | C22 | semidirect |
| 14. C2×D632 | C22 | semidirect |
| 16. #14579158 | C22 | semidirect |
| 18. #14579149 | C22 | semidirect |
| 22. #97×C79 | C22 | semidirect |
| 43. C2×C8×C79 | D4 | semidirect |
| 69. C8×C79 | C2×D4 | semidirect |
| 83. C2×C79 | #496 | semidirect |
| 89. C79 | C2×#496 | semidirect |
| 95. C2×#97 | D79 | semidirect |
| 111. #97 | C2×D79 | semidirect |
| 131. C2×C8 | D316 | semidirect |
| 158. C8 | C2×D316 | semidirect |
| 174. C2 | #19098952 | direct (N × H) |