Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
442 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 2. C2×#14579089 | C2 | semidirect |
| 3. #19098527 | C2 | semidirect |
| 4. #19098323 | C2 | semidirect |
| 5. C22×C42×C79 | C2 | semidirect |
| 9. #14579140 | C4 | semidirect |
| 10. #14579135 | C4 | semidirect |
| 23. C2×Dic158 | C2×C4 | semidirect |
| 24. C2×D316 | C2×C4 | semidirect |
| 31. C4⋊Dic79 | C2×C4 | semidirect |
| 49. C42×C79 | D4 | semidirect |
| 82. C22×C79 | #104 | semidirect |
| 101. C79 | #1896 | semidirect |
| 103. C22×C42 | D79 | semidirect |
| 150. C42 | C22⋊D79 | semidirect |
| 185. C22 | #14579089 | semidirect |