Finite Group Databasebeta

← Group #13091478

Character table — Group #13091478

Order 1458.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size122223366666666666999999181818181818181818181818181818181818181818181818181818181818181818818181818181818181
order133333333333333333333333333333999999999999999999999999999266666666
χ1111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ4111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-11−i321−i321−i321+i321+i321+i32
χ5111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ6111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-11+i321+i321+i321−i321−i321−i32
χ711111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ811111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32-11−i321+i32
χ911111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i321−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ1011111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32-11−i321+i321−i321+i32-11+i32-11−i32
χ1111111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ1211111−1+i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111-11−i321+i321+i32-11−i321−i321+i32-1
χ1311111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ1411111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32-11+i321−i32
χ1511111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ1611111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111-11+i321−i321−i32-11+i321+i321−i32-1
χ1711111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i321−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ1811111−1−i32−1+i32111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32111−1−i32−1−i32−1−i32-11+i321−i321+i321−i32-11−i32-11+i32
χ19222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000
χ20222222222222222222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000
χ21222222222222222222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000
χ222222222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-1000000000
χ232222222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1000000000
χ242222222-1-1-12-1-1-12-1-1-1222222-1-1-1-1-1-1-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12-1-12000000000
χ252222222-1-1-12-1-1-12-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i322-1-12-1-12-1-1−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32000000000
χ262222222-1-1-12-1-1-12-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32-12-1-12-1-12-11−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i32000000000
χ272222222-1-1-12-1-1-12-1-1-1−1+i3−1+i3−1+i3−1−i3−1−i3−1−i31−i321−i321−i321+i321+i321+i32-1-12-1-12-1-121−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i3000000000
χ282222222-1-1-12-1-1-12-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i322-1-12-1-12-1-1−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32000000000
χ292222222-1-1-12-1-1-12-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32-12-1-12-1-12-11+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i31−i32000000000
χ302222222-1-1-12-1-1-12-1-1-1−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i321+i321+i321−i321−i321−i32-1-12-1-12-1-121+i321+i32−1−i31+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i31−i321−i32−1+i3000000000
χ3122222−1+i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32000000000
χ3222222−1+i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32-1-1-11+i321+i321+i32-1-1-11−i321−i321−i32000000000
χ3322222−1+i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1−i32−1+i3−1+i3−1−i32−1−i32−1+i3−1+i3−1−i32-1-1-11−i321−i321−i321+i321+i321+i321+i321+i321+i32-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i32-1-1-1000000000
χ3422222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1−i31+i321+i32000000000
χ3522222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i32-12-11−i32−1+i31−i321+i32−1−i31+i32000000000
χ3622222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i322−1+i3−1−i32−1+i3−1−i3-11−i321+i32-11−i321+i32-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3-1-121−i321−i32−1+i31+i321+i32−1−i3000000000
χ3722222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i32−1−i32−1+i31−i321+i32-11+i32-11−i322-1-1−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i322-1-1−1−i31+i321+i322-1-1−1+i31−i321−i32000000000
χ3822222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i32−1−i32−1+i31−i321+i32-11+i32-11−i32-12-11−i32−1+i31−i321+i32−1−i31+i321−i32−1+i31−i321+i32−1−i31+i32-12-11+i32−1−i31+i32-12-11−i32−1+i31−i32000000000
χ3922222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1+i3−1−i32−1−i32−1+i31−i321+i32-11+i32-11−i32-1-121−i321−i32−1+i31+i321+i32−1−i31−i321−i32−1+i31+i321+i32−1−i3-1-121+i321+i32−1−i3-1-121−i321−i32−1+i3000000000
χ4022222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i32−1+i3−1+i3−1−i321+i32-11−i321−i321+i32-12-1-1−1+i31−i321−i32−1−i31+i321+i32−1−i31+i321+i322-1-1−1+i31−i321−i32−1+i31−i321−i32−1−i31+i321+i322-1-1000000000
χ4122222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i32−1+i3−1+i3−1−i321+i32-11−i321−i321+i32-1-12-11−i32−1+i31−i321+i32−1−i31+i321+i32−1−i31+i32-12-11−i32−1+i31−i321−i32−1+i31−i321+i32−1−i31+i32-12-1000000000
χ4222222−1+i3−1−i3-1-1-1−1+i31−i321−i321−i32−1−i31+i321+i321+i32−1−i32−1+i3−1+i3−1−i321+i32-11−i321−i321+i32-1-1-121−i321−i32−1+i31+i321+i32−1−i31+i321+i32−1−i3-1-121−i321−i32−1+i31−i321−i32−1+i31+i321+i32−1−i3-1-12000000000
χ4322222−1−i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i32−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32000000000
χ4422222−1−i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32-1-1-11+i321+i321+i321−i321−i321−i321−i321−i321−i32-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i32-1-1-1000000000
χ4522222−1−i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1+i32−1+i32−1−i3−1−i3−1+i32−1+i32−1−i3-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32-1-1-11−i321−i321−i32-1-1-11+i321+i321+i32000000000
χ4622222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1+i31−i321−i32000000000
χ4722222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-12-11+i32−1−i31+i321−i32−1+i31−i32-12-11+i32−1−i31+i321−i32−1+i31−i32000000000
χ4822222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i322−1−i3−1+i32−1−i3−1+i3-11+i321−i32-11+i321−i32-1-121+i321+i32−1−i31−i321−i32−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i3-1-121+i321+i32−1−i31−i321−i32−1+i3000000000
χ4922222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i32−1−i3−1−i3−1+i321−i32-11+i321+i321−i32-12-1-1−1−i31+i321+i32−1+i31−i321−i32−1+i31−i321−i322-1-1−1−i31+i321+i32−1−i31+i321+i32−1+i31−i321−i322-1-1000000000
χ5022222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i32−1−i3−1−i3−1+i321−i32-11+i321+i321−i32-1-12-11+i32−1−i31+i321−i32−1+i31−i321−i32−1+i31−i32-12-11+i32−1−i31+i321+i32−1−i31+i321−i32−1+i31−i32-12-1000000000
χ5122222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1+i32−1−i3−1−i3−1+i321−i32-11+i321+i321−i32-1-1-121+i321+i32−1−i31−i321−i32−1+i31−i321−i32−1+i3-1-121+i321+i32−1−i31+i321+i32−1−i31−i321−i32−1+i3-1-12000000000
χ5222222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i32−1+i32−1−i31+i321−i32-11−i32-11+i322-1-1−1−i31+i321+i32−1+i31−i321−i32−1−i31+i321+i32−1+i31−i321−i322-1-1−1+i31−i321−i322-1-1−1−i31+i321+i32000000000
χ5322222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i32−1+i32−1−i31+i321−i32-11−i32-11+i32-12-11+i32−1−i31+i321−i32−1+i31−i321+i32−1−i31+i321−i32−1+i31−i32-12-11−i32−1+i31−i32-12-11+i32−1−i31+i32000000000
χ5422222−1−i3−1+i3-1-1-1−1−i31+i321+i321+i32−1+i31−i321−i321−i32−1−i3−1+i32−1+i32−1−i31+i321−i32-11−i32-11+i32-1-121+i321+i32−1−i31−i321−i32−1+i31+i321+i32−1−i31−i321−i32−1+i3-1-121−i321−i32−1+i3-1-121+i321+i32−1−i3000000000
χ5566-3-3-3666-3-3-36-3-3-36-3-3000000000000000000000000000000000000000000000000
χ5666-3-3-366-36-3-3-36-3-3-36-3000000000000000000000000000000000000000000000000
χ5766-3-3-366-3-36-3-3-36-3-3-36000000000000000000000000000000000000000000000000
χ5866-3-3-3−3+3i3−3−3i36-3-33−3i32−3+3i33−3i323−3i323+3i32−3−3i33+3i323+3i32000000000000000000000000000000000000000000000000
χ5966-3-3-3−3+3i3−3−3i3-36-33−3i323−3i32−3+3i33−3i323+3i323+3i32−3−3i33+3i32000000000000000000000000000000000000000000000000
χ6066-3-3-3−3+3i3−3−3i3-3-363−3i323−3i323−3i32−3+3i33+3i323+3i323+3i32−3−3i3000000000000000000000000000000000000000000000000
χ6166-3-3-3−3−3i3−3+3i36-3-33+3i32−3−3i33+3i323+3i323−3i32−3+3i33−3i323−3i32000000000000000000000000000000000000000000000000
χ6266-3-3-3−3−3i3−3+3i3-36-33+3i323+3i32−3−3i33+3i323−3i323−3i32−3+3i33−3i32000000000000000000000000000000000000000000000000
χ6366-3-3-3−3−3i3−3+3i3-3-363+3i323+3i323+3i32−3−3i33−3i323−3i323−3i32−3+3i3000000000000000000000000000000000000000000000000
χ6418-918-9-90000000000000000000000000000000000000000000000000000000000000
χ6518-9-918-90000000000000000000000000000000000000000000000000000000000000
χ6618-9-9-9180000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).