Finite Group DatabasebetaFinite Group DatabasebetaOrder 5103.
1328 conjugacy classes of subgroups; only the 346 normal subgroups are shown.
This group has 1328 conjugacy classes of subgroups — too many to draw. Only its 346 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. C32×#4427 | C3 | semidirect |
| 3. C33×C7⋊C9 | C3 | semidirect |
| 4. #13133553 | C3 | direct (N × H) |
| 5. C3×C32⋊(C7⋊C9) | C3 | semidirect |
| 6. C3×(C3×ΓL(1,𝔽8))⋊C9 | C3 | semidirect |
| 7. C3×C7×C32⋊C9 | C3 | semidirect |
| 18. C32×C7⋊C9 | C32 | semidirect |
| 20. C3×#4427 | C32 | semidirect |
| 21. C7×C32⋊C9 | C32 | semidirect |
| 22. C32⋊(C7⋊C9) | C32 | semidirect |
| 23. (C3×ΓL(1,𝔽8))⋊C9 | C32 | semidirect |
| 30. C3×C32⋊C9 | ΓL(1,𝔽8) | semidirect |
| 33. C33×C7 | 3−1+2 | semidirect |
| 46. C3×C7⋊C9 | H(3,𝔽3) | semidirect |
| 65. C32⋊C9 | C3×ΓL(1,𝔽8) | semidirect |
| 71. C32×C7 | C3×3−1+2 | semidirect |
| 81. C7⋊C9 | C3×H(3,𝔽3) | semidirect |
| 88. C33 | #4427 | semidirect |
| 103. C3×C7 | C9⋊H(3,𝔽3) | semidirect |
| 116. C32 | C3×#4427 | semidirect |
| 124. C7 | C3×C9⋊H(3,𝔽3) | semidirect |
| 127. C3 | #13133553 | direct (N × H) |