Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 360 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. #19098587 | C2 | semidirect |
| 3. C2×#14579089 | C2 | semidirect |
| 4. C43×C79 | C2 | semidirect |
| 7. #14579161 | C4 | semidirect |
| 8. #14579158 | C4 | semidirect |
| 9. #14579149 | C4 | semidirect |
| 36. C42×C79 | D4 | semidirect |
| 63. C4×C79 | #104 | semidirect |
| 73. C79 | #1962 | semidirect |
| 77. C43 | D79 | semidirect |
| 109. C42 | D316 | semidirect |
| 137. C4 | #14579089 | semidirect |