Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C263 ⋊ #332 |
64 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16832 |
Polycyclic presentation:
2^6,263|a^2=d,b^2=e,c^2=f,d^2=ef,b^a=bc,c^a=ce,g^a=g^262,c^b=cf,d^b=def,g^b=g^2622639 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #332×D263, C2×#30681685, #46781393, … |
| maximal normal subgroup of | #332×D263, C2×#30681685, #46781393, … |
| maximal quotient of | #46780571, #46780631, #46780800, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 296);