Finite Group DatabasebetaFinite Group DatabasebetaOrder 9477.
332 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 332 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, prime radical | C33×C13 | C33 |
| commutator | C32 | C32×C9×C13 |
| Frattini, cosocle | C33 | C33×C13 |
| LCS | G ▷ C32 ▷ C1 | |
| UCS | C1 ◁ C33×C13 ◁ G | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 20. C13×C9⋊C9 | C9 | semidirect |
| 22. #10624559 | C13 | direct (N × H) |
| 93. C9⋊C9 | C9×C13 | semidirect |
| 137. C13 | #10624559 | direct (N × H) |