Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
1004 conjugacy classes of subgroups; only the 485 normal subgroups are shown.
This group has 1004 conjugacy classes of subgroups — too many to draw. Only its 485 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. #19099174 | C2 | direct (N × H) |
| 3. C2×#14579153 | C2 | semidirect |
| 4. C2×#14579151 | C2 | semidirect |
| 6. C2×Q8×Dic79 | C2 | semidirect |
| 8. C2×C4⋊Q8×C79 | C2 | semidirect |
| 11. #14579153 | C22 | semidirect |
| 12. #14579151 | C22 | semidirect |
| 14. Q8×Dic79 | C22 | semidirect |
| 26. C4⋊Q8×C79 | C22 | semidirect |
| 81. C2×C79 | #541 | semidirect |
| 86. C79 | C2×#541 | semidirect |
| 88. C2×C4⋊Q8 | D79 | semidirect |
| 97. C4⋊Q8 | C2×D79 | semidirect |
| 168. C2 | #19099174 | direct (N × H) |