Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
196 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 45 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. #19098931 | C2 | semidirect |
| 3. #19098925 | C2 | semidirect |
| 4. #19098304 | C2 | semidirect |
| 5. #19098303 | C2 | semidirect |
| 6. #19098302 | C2 | semidirect |
| 7. #489×C79 | C2 | semidirect |
| 97. C79 | #1662 | semidirect |
| 101. #489 | D79 | semidirect |