Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
316 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#14579094 | C2 | semidirect |
| 3. C2×#14579092 | C2 | semidirect |
| 5. #19098325 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 18. C22⋊(C79⋊C8) | C4 | semidirect |
| 121. C79 | #1854 | semidirect |