Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
362 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. #19098572 | C2 | semidirect |
| 5. C2×#14579080 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 7. C2×C4⋊Q8×C79 | C2 | semidirect |
| 126. C79 | #2005 | semidirect |
| 129. C2×C4⋊Q8 | D79 | semidirect |