Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
512 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 512 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. C22×C4⋊Dic79 | C2 | semidirect |
| 3. #19098882 | C2 | direct (N × H) |
| 4. C2×#14579093 | C2 | semidirect |
| 5. C2×#14579083 | C2 | semidirect |
| 6. C2×C22⋊C8×C79 | C2 | semidirect |
| 16. C2×C4⋊Dic79 | C22 | semidirect |
| 18. #14579093 | C22 | semidirect |
| 19. #14579083 | C22 | semidirect |
| 22. C22⋊C8×C79 | C22 | semidirect |
| 90. C2×C79 | #481 | semidirect |
| 96. C79 | C2×#481 | semidirect |
| 102. C2×C22⋊C8 | D79 | semidirect |
| 118. C22⋊C8 | C2×D79 | semidirect |
| 187. C2 | #19098882 | direct (N × H) |