Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 95 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. C22×#11929614 | C2 | semidirect |
| 3. C2×#14579085 | C2 | semidirect |
| 4. C2×#14579084 | C2 | semidirect |
| 6. #19098325 | C2 | semidirect |
| 75. C23×C79 | Q16 | semidirect |
| 144. C79 | #2001 | semidirect |
| 219. C23 | #11929614 | semidirect |