Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
382 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 69 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×#14579075 | C2 | semidirect |
| 3. #19098443 | C2 | semidirect |
| 4. #19098440 | C2 | semidirect |
| 5. #19098438 | C2 | semidirect |
| 6. #19098329 | C2 | semidirect |
| 7. C2×#99×C79 | C2 | semidirect |
| 73. C22⋊C4×C79 | D4 | semidirect |
| 176. C79 | #2044 | semidirect |
| 179. C2×#99 | D79 | semidirect |
| 249. C22⋊C4 | C22⋊D79 | semidirect |