Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 121 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×#14579153 | C2 | semidirect |
| 2. #19098969 | C2 | semidirect |
| 3. #19098927 | C2 | semidirect |
| 4. #19098879 | C2 | semidirect |
| 5. #19098874 | C2 | semidirect |
| 6. #19098863 | C2 | semidirect |
| 7. #19098620 | C2 | semidirect |
| 107. C79 | #3234 | semidirect |