Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
374 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 134 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, Frattini, cosocle | C33 | C33×C13 |
| prime radical | C34×C13 | C32 |
| LCS | G ▷ C33 ▷ 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 |
| 2. C3×C13×C9⋊C9 | C3 | semidirect |
| 6. C13×#6855 | C3 | semidirect |
| 7. C13×#6855 | C3 | semidirect |
| 8. C13×#6855 | C3 | semidirect |
| 9. C13×#6855 | C3 | semidirect |
| 24. #10624566 | C13 | direct (N × H) |
| 64. C3×C9⋊C9 | C3×C13 | semidirect |
| 65. C3×C9⋊C9 | C3×C13 | semidirect |
| 69. #6855 | C3×C13 | semidirect |
| 70. #6855 | C3×C13 | semidirect |
| 71. #6855 | C3×C13 | semidirect |
| 72. #6855 | C3×C13 | semidirect |
| 162. C13 | #10624566 | direct (N × H) |