Finite Group DatabasebetaFinite Group DatabasebetaOrder 31347.
296 conjugacy classes of subgroups.
| subgroup | G/H | |
|---|---|---|
| center, socle, prime radical | C33×C43 | C33 |
| commutator, Frattini, cosocle | C33 | C33×C43 |
| LCS | G ▷ C33 ▷ C1 | |
| UCS | C1 ◁ C33×C43 ◁ G | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 16. #10624572 | C43 | direct (N × H) |
| 33. C43 | #10624572 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C3×C43×C9⋊C9 | 3 |
| C43×#6855 | 3 |
| #10624572 | 43 |