Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
438 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 113 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×#14579082 | C2 | semidirect |
| 3. C2×#14579081 | C2 | semidirect |
| 4. #19098465 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098318 | C2 | semidirect |
| 7. C2×C4×D4×C79 | C2 | semidirect |
| 11. C2×#11929609 | C4 | semidirect |
| 32. C2×D316 | C2×C4 | semidirect |
| 40. C2×C79⋊C8 | C2×C4 | semidirect |
| 82. D4×C79 | C22⋊C4 | semidirect |
| 92. C2×C4×C79 | D8 | semidirect |
| 147. C79 | #1879 | semidirect |
| 149. C2×C4×D4 | D79 | semidirect |
| 233. D4 | (C2×D79)⋊C4 | semidirect |
| 246. C2×C4 | #11929609 | semidirect |