Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
676 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 165 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×#14579150 | C2 | semidirect |
| 3. C2×Q8×Dic79 | C2 | semidirect |
| 4. #19098479 | C2 | semidirect |
| 5. #19098466 | C2 | semidirect |
| 6. #19098465 | C2 | semidirect |
| 7. #19098463 | C2 | semidirect |
| 8. C4×Dic79⋊C4 | C2 | semidirect |
| 9. C2×#124×C79 | C2 | semidirect |
| 55. C2×Q8×C79 | D4 | semidirect |
| 119. Dic79 | #124 | semidirect |
| 128. C79 | #2548 | semidirect |
| 131. C2×#124 | D79 | semidirect |
| 163. C2×Q8 | C22⋊D79 | semidirect |