Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
152 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 152 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 |
|---|---|---|
| 4. #19098387 | C2 | semidirect |
| 5. #19098386 | C2 | semidirect |
| 6. #19098385 | C2 | semidirect |
| 7. #365×C79 | C2 | semidirect |
| 12. #14579100 | C4 | semidirect |
| 13. C16×D79 | C4 | semidirect |
| 33. C79⋊C16 | C2×C4 | semidirect |
| 37. C16×C79 | C2×C4 | semidirect |
| 67. D79 | #365 | direct (N × H) |
| 69. C79 | C2×#365 | semidirect |
| 76. #365 | D79 | direct (N × H) |
| 106. C16 | C4×D79 | semidirect |