Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
360 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. C2×#14579071 | C2 | semidirect |
| 5. #19098318 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. C2×#97×C79 | C2 | semidirect |
| 13. C2×C8×D79 | C4 | semidirect |
| 16. (C2×D79)⋊C8 | C4 | semidirect |
| 78. C8×C79 | C22⋊C4 | semidirect |
| 90. C2×D79 | #97 | semidirect |
| 105. C79 | #1752 | semidirect |
| 109. C2×#97 | D79 | semidirect |
| 185. C8 | (C2×D79)⋊C4 | semidirect |