Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
484 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 153 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×#14579192 | C2 | semidirect |
| 3. #19098785 | C2 | semidirect |
| 4. #19098773 | C2 | semidirect |
| 5. #19098763 | C2 | semidirect |
| 6. #19098587 | C2 | semidirect |
| 7. #19098562 | C2 | semidirect |
| 8. C2×C4×Q8×C79 | C2 | semidirect |
| 52. C2×Q8×C79 | D4 | semidirect |
| 111. C4×C79 | #137 | semidirect |
| 121. C79 | #3037 | semidirect |
| 124. C2×C4×Q8 | D79 | semidirect |
| 160. C2×Q8 | D316 | semidirect |
| 233. C4 | #14579192 | semidirect |