Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22⋊C8×C263 ⋊ C2 |
| Sylow | C263 ⋊ #448 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
Polycyclic presentation:
2^6,263|b^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^262,d^b=df,g^b=g^2622639 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46781700, #46781701, #46781712, … |
| maximal normal subgroup of | #46781700, #46781701, #46781712, … |
| maximal quotient of | #46781672, #46781689, #46781740, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 690);