Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
304 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19098335 | C2 | semidirect |
| 6. C79⋊#338 | C2 | semidirect |
| 7. C2×#101×C79 | C2 | semidirect |
| 11. C2×#11929614 | C4 | semidirect |
| 12. C2×#11929611 | C4 | semidirect |
| 108. C79 | #1902 | semidirect |
| 113. C2×#101 | D79 | semidirect |