Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
184 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 184 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×#14579107 | C2 | semidirect |
| 2. C2×#14579106 | C2 | semidirect |
| 4. #19098948 | C2 | semidirect |
| 5. #19098946 | C2 | semidirect |
| 6. C16×Dic79 | C2 | semidirect |
| 7. C2×SD32×C79 | C2 | semidirect |
| 76. C79 | #2249 | semidirect |
| 79. C2×SD32 | D79 | semidirect |