Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
410 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 170 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| subgroup | G/H | |
|---|---|---|
| center, socle | C33×C13 | C33 |
| commutator | C32 | C32×C9×C13 |
| Frattini, cosocle | C33 | C33×C13 |
| prime radical | C34×C13 | C32 |
| LCS | G ▷ C32 ▷ C1 | |
| UCS | C1 ◁ C33×C13 ◁ G | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C3×C13×C9⋊C9 | C3 | semidirect |
| 5. C3×C92×C13 | C3 | semidirect |
| 6. C13×#6855 | C3 | semidirect |
| 7. C13×#6855 | C3 | semidirect |
| 18. C13×C32⋊C9 | C9 | semidirect |
| 20. #10624557 | C13 | direct (N × H) |
| 53. C3×C9⋊C9 | C3×C13 | semidirect |
| 57. C3×C92 | C3×C13 | semidirect |
| 58. #6855 | C3×C13 | semidirect |
| 59. #6855 | C3×C13 | semidirect |
| 94. C32⋊C9 | C9×C13 | semidirect |
| 138. C13 | #10624557 | direct (N × H) |