Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
402 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. C2×#14579086 | C2 | semidirect |
| 5. #19098469 | C2 | semidirect |
| 6. #19098326 | C2 | semidirect |
| 7. #336×C79 | C2 | semidirect |
| 13. C2×#11929613 | C4 | semidirect |
| 32. C2×Dic158 | C2×C4 | semidirect |
| 59. C2×C8×C79 | C2×C4 | semidirect |
| 75. C2×C4×C79 | SD16 | semidirect |
| 134. C79 | #1877 | semidirect |
| 141. #336 | D79 | semidirect |
| 188. C2×C8 | C4×D79 | semidirect |
| 227. C2×C4 | #11929613 | semidirect |