Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
384 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 3. #19098973 | C2 | semidirect |
| 4. #19098972 | C2 | semidirect |
| 5. #19098971 | C2 | semidirect |
| 6. #19098970 | C2 | semidirect |
| 7. #19098969 | C2 | semidirect |
| 11. #501×C79 | C2 | semidirect |
| 53. C8×D79 | Q8 | semidirect |
| 102. C8×C79 | C2×Q8 | semidirect |
| 103. C79⋊C8 | C2×Q8 | semidirect |
| 123. D79 | #501 | direct (N × H) |
| 125. C79 | C2×#501 | semidirect |
| 133. #501 | D79 | direct (N × H) |
| 228. C8 | Q8×D79 | semidirect |