Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 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. #19098911 | C2 | direct (N × H) |
| 3. C2×#14579081 | C2 | semidirect |
| 4. C2×C4×C79⋊C8 | C2 | semidirect |
| 5. C2×C4⋊Q8×C79 | C2 | semidirect |
| 12. #14579081 | C22 | semidirect |
| 13. C4×C79⋊C8 | C22 | semidirect |
| 16. C4⋊Q8×C79 | C22 | semidirect |
| 74. C2×C79 | #486 | semidirect |
| 80. C79 | C2×#486 | semidirect |
| 81. C2×C4⋊Q8 | D79 | semidirect |
| 92. C4⋊Q8 | C2×D79 | semidirect |
| 155. C2 | #19098911 | direct (N × H) |