Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C263 ⋊ #324 |
78 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
Polycyclic presentation:
2^6,263|a^2=d,b^2=e,d^2=f,b^a=bc,c^a=ce,d^b=de,g^b=g^2622642 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #324×D263, C2×#30681663, #46781058, … |
| maximal normal subgroup of | #324×D263, C2×#30681663, #46781058, … |
| maximal quotient of | #46780569, #46780571, #46780589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 274);