Finite Group DatabasebetaFinite Group Databasebeta| order | 9477 |
| automorphism | ? |
| homology | Abelianization (H1) = C13 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting, socle, derived, Sylow | C36 ⋊ C13 |
| subgroup | G/H | |
|---|---|---|
| center, Frattini, hypercenter | C1 | G |
| commutator, Fitting, socle, cosocle, hypocenter | C36 | C13 |
| LCS | G ▷ C36 | |
| UCS | C1 | |
4364 conjugacy classes of subgroups.
Polycyclic presentation:
13,3^6|b^a=bc^2d^2f^2g,c^a=bf^2,d^a=b^2cd^2e^2f^2,e^a=c^2d^2e,f^a=b^2d^2e^2f^2g,g^a=bc^2e^2f^2g69 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9477, 4043);