Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
428 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 129 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×Q8×Dic79 | C2 | semidirect |
| 3. #19098882 | C2 | semidirect |
| 4. #19098879 | C2 | semidirect |
| 5. #19098846 | C2 | semidirect |
| 6. #19098761 | C2 | semidirect |
| 7. #19098702 | C2 | semidirect |
| 8. SD16×Dic79 | C2 | semidirect |
| 9. #19098648 | C2 | semidirect |
| 10. #19098613 | C2 | semidirect |
| 11. #448×C79 | C2 | semidirect |
| 87. Q8×C79 | #41 | semidirect |
| 104. C2×Dic79 | SD16 | semidirect |
| 141. C79 | #3103 | semidirect |
| 149. #448 | D79 | semidirect |
| 229. Q8 | #11929623 | semidirect |