Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
492 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 189 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. C4×#11929624 | C2 | semidirect |
| 3. #19098676 | C2 | semidirect |
| 4. #19098671 | C2 | semidirect |
| 5. #19098665 | C2 | semidirect |
| 6. #19098601 | C2 | semidirect |
| 7. #19098560 | C2 | semidirect |
| 8. C2×#97×C79 | C2 | semidirect |
| 10. #14579183 | C4 | semidirect |
| 30. #11929624 | C2×C4 | semidirect |
| 36. Dic316 | C2×C4 | semidirect |
| 37. #11929613 | C2×C4 | semidirect |
| 38. D632 | C2×C4 | semidirect |
| 48. C2×C8×C79 | C2×C4 | semidirect |
| 90. C79 | #2943 | semidirect |
| 98. C2×#97 | D79 | semidirect |
| 132. C2×C8 | C4×D79 | semidirect |