Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
326 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 326 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19098603 | C2 | semidirect |
| 3. C2×#14579089 | C2 | semidirect |
| 4. #19098562 | C2 | semidirect |
| 5. C2×#14579078 | C2 | semidirect |
| 6. #19098323 | C2 | semidirect |
| 7. #390×C79 | C2 | semidirect |
| 40. #11929608 | D4 | semidirect |
| 131. C79 | #2037 | semidirect |
| 137. #390 | D79 | semidirect |