Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
412 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14579153 | C2 | semidirect |
| 3. #19098918 | C2 | direct (N × H) |
| 4. C2×#14579086 | C2 | semidirect |
| 6. C2×C4×C8×C79 | C2 | semidirect |
| 10. #14579153 | C22 | semidirect |
| 16. #14579086 | C22 | semidirect |
| 20. C4×C8×C79 | C22 | semidirect |
| 69. C2×C79 | #488 | semidirect |
| 74. C79 | C2×#488 | semidirect |
| 80. C2×C4×C8 | D79 | semidirect |
| 94. C4×C8 | C2×D79 | semidirect |
| 144. C2 | #19098918 | direct (N × H) |