Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
480 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 165 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×#14579160 | C2 | semidirect |
| 3. #19098851 | C2 | direct (N × H) |
| 4. C2×#14579093 | C2 | semidirect |
| 5. C2×#14579092 | C2 | semidirect |
| 6. C2×Dic79⋊C8 | C2 | semidirect |
| 13. #14579160 | C22 | semidirect |
| 21. #14579093 | C22 | semidirect |
| 22. #14579092 | C22 | semidirect |
| 23. Dic79⋊C8 | C22 | semidirect |
| 50. C2×D4×C79 | Q8 | semidirect |
| 65. D4×C79 | C2×Q8 | semidirect |
| 101. C2×C79 | #476 | semidirect |
| 106. C79 | C2×#476 | semidirect |
| 140. C2×D4 | Dic158 | semidirect |
| 172. D4 | C2×Dic158 | semidirect |
| 207. C2 | #19098851 | direct (N × H) |