Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
572 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#14579182 | C2 | semidirect |
| 2. #19099114 | C2 | semidirect |
| 3. #19099111 | C2 | semidirect |
| 4. #19098944 | C2 | semidirect |
| 5. #19098942 | C2 | semidirect |
| 6. #19098939 | C2 | semidirect |
| 7. #19098936 | C2 | semidirect |
| 8. C4×C8×D79 | C2 | semidirect |
| 9. #492×C79 | C2 | semidirect |
| 47. C8×D79 | D4 | semidirect |
| 91. C4×C79 | #135 | semidirect |
| 102. C79 | #3147 | semidirect |
| 110. #492 | D79 | semidirect |
| 196. C4 | #14579182 | semidirect |