Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
1304 conjugacy classes of subgroups; only the 292 normal subgroups are shown.
This group has 1304 conjugacy classes of subgroups — too many to draw. Only its 292 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×#66851 | C3 | semidirect |
| 2. C32×C32⋊(C13⋊C3) | C3 | semidirect |
| 3. #15691665 | C3 | direct (N × H) |
| 4. C3×#11760440 | C3 | semidirect |
| 5. C32×C13×H(3,𝔽3) | C3 | semidirect |
| 10. C3×#66851 | C32 | semidirect |
| 14. C3×C32⋊(C13⋊C3) | C32 | semidirect |
| 15. C3×C32⋊(C13⋊C3) | C32 | semidirect |
| 16. C32×C13⋊C9 | C32 | semidirect |
| 17. #11760440 | C32 | semidirect |
| 22. C3×C13×H(3,𝔽3) | C32 | semidirect |
| 23. C3×C13×H(3,𝔽3) | C32 | semidirect |
| 39. C13×H(3,𝔽3) | C33 | semidirect |
| 43. C32⋊(C13⋊C3) | C33 | semidirect |
| 48. C3×C13⋊C9 | C33 | semidirect |
| 51. C32×H(3,𝔽3) | C13⋊C3 | semidirect |
| 85. C3×H(3,𝔽3) | C3×C13⋊C3 | semidirect |
| 86. C3×H(3,𝔽3) | C3×C13⋊C3 | semidirect |
| 94. C3×C13 | #6911 | semidirect |
| 117. H(3,𝔽3) | C32×C13⋊C3 | semidirect |
| 121. C13 | C3×#6911 | semidirect |
| 145. C3 | #15691665 | direct (N × H) |