Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
282 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19098701 | C2 | semidirect |
| 2. #19098483 | C2 | semidirect |
| 3. #19098297 | C2 | semidirect |
| 4. #19098289 | C2 | semidirect |
| 57. C2×C4×C79 | SD16 | semidirect |
| 89. C79 | #1604 | semidirect |
| 154. C2×C4 | #11929612 | semidirect |