Finite Group DatabasebetaFinite Group Databasebeta| order | 16832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C263 ⋊ #423 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8416 |
Polycyclic presentation:
2^6,263|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^a=g^2624220 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46780605, #46780606, #46780621, … |
| maximal normal subgroup of | #46780605, #46780606, #46780621, … |
| maximal quotient of | #46781503, #46781506, #46781510, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16832, 573);