Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
434 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19099111 | C2 | semidirect |
| 2. C4×#11929625 | C2 | semidirect |
| 3. #19098886 | C2 | semidirect |
| 4. #19098858 | C2 | semidirect |
| 5. #19098854 | C2 | semidirect |
| 6. #19098755 | C2 | semidirect |
| 7. #19098707 | C2 | semidirect |
| 8. SD16×Dic79 | C2 | semidirect |
| 9. #19098643 | C2 | semidirect |
| 10. #19098615 | C2 | semidirect |
| 11. #460×C79 | C2 | semidirect |
| 87. Q8×C79 | #41 | semidirect |
| 106. D316 | #41 | semidirect |
| 145. C79 | #3106 | semidirect |
| 151. #460 | D79 | semidirect |
| 233. Q8 | #11929623 | semidirect |