Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 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. #19099031 | C2 | semidirect |
| 3. #19098674 | C2 | semidirect |
| 4. #19098669 | C2 | semidirect |
| 5. #19098662 | C2 | semidirect |
| 6. #19098557 | C2 | semidirect |
| 7. C2×#14579071 | C2 | semidirect |
| 8. #427×C79 | C2 | semidirect |
| 10. #14579183 | C4 | semidirect |
| 30. #11929624 | C2×C4 | semidirect |
| 37. Dic316 | C2×C4 | semidirect |
| 38. #11929613 | C2×C4 | semidirect |
| 39. D632 | C2×C4 | semidirect |
| 48. C2×C8×C79 | C2×C4 | semidirect |
| 90. C79 | #2943 | semidirect |
| 96. #427 | D79 | semidirect |
| 133. C2×C8 | C4×D79 | semidirect |