Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C4×Q8×C263 ⋊ C2 |
| Sylow | C263 ⋊ #460 |
128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
Polycyclic presentation:
2^6,263|b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^a=g^262,e^c=ef2639 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46781806, #46781808, #46781812, … |
| maximal normal subgroup of | #46781806, #46781808, #46781812, … |
| maximal quotient of | #46782095, #46782107, #46782117, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 749);