Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
198 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14579104 | C2 | semidirect |
| 2. C2×D1264 | C2 | semidirect |
| 3. C2×#14579102 | C2 | semidirect |
| 4. #19098948 | C2 | semidirect |
| 5. #19098938 | C2 | semidirect |
| 6. #19098338 | C2 | semidirect |
| 7. C2×SD32×C79 | C2 | semidirect |
| 35. C79⋊C16 | D4 | semidirect |
| 43. C16×C79 | D4 | semidirect |
| 79. C79 | #2250 | semidirect |
| 81. C2×SD32 | D79 | semidirect |
| 122. C16 | C22⋊D79 | semidirect |