Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
258 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19098537 | C2 | semidirect |
| 3. #19098357 | C2 | semidirect |
| 4. #19098355 | C2 | semidirect |
| 5. #410×C79 | C2 | semidirect |
| 6. C2×#11929624 | C4 | semidirect |
| 7. #14579159 | C4 | semidirect |
| 9. #14579150 | C4 | semidirect |
| 16. C2×C4×Dic79 | C4 | semidirect |
| 114. C79 | #2126 | semidirect |
| 117. #410 | D79 | semidirect |