Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
668 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 668 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 1. C22×#11929611 | C2 | semidirect |
| 2. C22×#11929609 | C2 | semidirect |
| 3. C2×#14579158 | C2 | semidirect |
| 4. #19098953 | C2 | direct (N × H) |
| 5. C2×#14579072 | C2 | semidirect |
| 6. C2×#124×C79 | C2 | semidirect |
| 10. C2×#11929611 | C22 | semidirect |
| 12. C2×#11929609 | C22 | semidirect |
| 15. #14579158 | C22 | semidirect |
| 16. #14579072 | C22 | semidirect |
| 20. #124×C79 | C22 | semidirect |
| 32. C2×C79⋊C8 | D4 | semidirect |
| 69. C79⋊C8 | C2×D4 | semidirect |
| 84. C2×C79 | #496 | semidirect |
| 89. C79 | C2×#496 | semidirect |
| 93. C2×#124 | D79 | semidirect |
| 108. #124 | C2×D79 | semidirect |
| 174. C2 | #19098953 | direct (N × H) |