Finite Group Databasebeta

← Group #84697

Character table — Group #84697

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111111114444448888888888881111111144444488888888888811111111444444888888888888
order122222224444444444444444443666666612121212121212121212121212121212121236666666121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-111-1-1-1-11-1-1-1111111111111111-111-1-1-1-11-1-1-1111111111111111-111-1-1-1-11-1-1-1
χ311111111111111-11-1-111-1-1-11-1-111111111111111-11-1-111-1-1-11-1-111111111111111-11-1-111-1-1-11-1-1
χ411111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-111-1-111
χ51111111111-1-1-1-1111-11-11-1-1-11-11111111111-1-1-1-1111-11-11-1-1-11-11111111111-1-1-1-1111-11-11-1-1-11-1
χ61111111111-1-1-1-11-11-1-11-11-11-111111111111-1-1-1-11-11-1-11-11-11-111111111111-1-1-1-11-11-1-11-11-11-11
χ71111111111-1-1-1-1-11-111-1-111-1-111111111111-1-1-1-1-11-111-1-111-1-111111111111-1-1-1-1-11-111-1-111-1-11
χ81111111111-1-1-1-1-1-1-11-111-1111-11111111111-1-1-1-1-1-1-11-111-1111-11111111111-1-1-1-1-1-1-11-111-1111-1
χ911111111-1-111-1-111-11-111-1-1-1-1111111111-1-111-1-111-11-111-1-1-1-1111111111-1-111-1-111-11-111-1-1-1-11
χ1011111111-1-111-1-11-1-111-1-11-111-111111111-1-111-1-11-1-111-1-11-111-111111111-1-111-1-11-1-111-1-11-111-1
χ1111111111-1-111-1-1-111-1-11-111-11-111111111-1-111-1-1-111-1-11-111-11-111111111-1-111-1-1-111-1-11-111-11-1
χ1211111111-1-111-1-1-1-11-11-11-111-1111111111-1-111-1-1-1-11-11-11-111-1111111111-1-111-1-1-1-11-11-11-111-11
χ1311111111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11111-1-1-1-11111-1-1
χ1411111111-1-1-1-1111-1-1-111-1-11-11111111111-1-1-1-1111-1-1-111-1-11-11111111111-1-1-1-1111-1-1-111-1-11-111
χ1511111111-1-1-1-111-1111-1-1-1-1-111111111111-1-1-1-111-1111-1-1-1-1-111111111111-1-1-1-111-1111-1-1-1-1-1111
χ1611111111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-111-1-1111111-1-1-1-1
χ17222-2-2-2-222i−2i2i−2i2-2000000000000222-2-2-2-222i−2i2i−2i2-2000000000000222-2-2-2-222i−2i2i−2i2-2000000000000
χ18222-2-2-2-222i−2i−2i2i-22000000000000222-2-2-2-222i−2i−2i2i-22000000000000222-2-2-2-222i−2i−2i2i-22000000000000
χ19222-2-2-2-22−2i2i2i−2i-22000000000000222-2-2-2-22−2i2i2i−2i-22000000000000222-2-2-2-22−2i2i2i−2i-22000000000000
χ20222-2-2-2-22−2i2i−2i2i2-2000000000000222-2-2-2-22−2i2i−2i2i2-2000000000000222-2-2-2-22−2i2i−2i2i2-2000000000000
χ2144-444-4-4-400000000000000000044-444-4-4-400000000000000000044-444-4-4-4000000000000000000
χ2244-4-4-444-400000000000000000044-4-4-444-400000000000000000044-4-4-444-4000000000000000000
χ234-444-44-4-40000000000000000004-444-44-4-40000000000000000004-444-44-4-4000000000000000000
χ244-44-44-44-40000000000000000004-44-44-44-40000000000000000004-44-44-44-4000000000000000000
χ254-4-44-4-4440000000000000000004-4-44-4-4440000000000000000004-4-44-4-444000000000000000000
χ264-4-4-444-440000000000000000004-4-4-444-440000000000000000004-4-4-444-44000000000000000000
χ2711111111111111111111111111−1+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+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−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
χ28111111111111111-111-1-1-1-11-1-1-1−1+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+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−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−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32
χ2911111111111111-11-1-111-1-1-11-1-1−1+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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32
χ3011111111111111-1-1-1-1-1-111-1-111−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ311111111111-1-1-1-1111-11-11-1-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32
χ321111111111-1-1-1-11-11-1-11-11-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32
χ331111111111-1-1-1-1-11-111-1-111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32
χ341111111111-1-1-1-1-1-1-11-111-1111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32
χ3511111111-1-111-1-111-11-111-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ3611111111-1-111-1-11-1-111-1-11-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32
χ3711111111-1-111-1-1-111-1-11-111-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32
χ3811111111-1-111-1-1-1-11-11-11-111-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32
χ3911111111-1-1-1-11111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4011111111-1-1-1-1111-1-1-111-1-11-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32
χ4111111111-1-1-1-111-1111-1-1-1-1-1111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ4211111111-1-1-1-111-1-1111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ43222-2-2-2-222i−2i2i−2i2-2000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32ζ7−2ζ72ζ7−2ζ7−1+i31−i3000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32ζ11−2ζ112ζ11−2ζ11−1−i31+i3000000000000
χ44222-2-2-2-222i−2i−2i2i-22000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i3−1+i3000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i3−1−i3000000000000
χ45222-2-2-2-22−2i2i2i−2i-22000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i3−1+i3000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i3−1−i3000000000000
χ46222-2-2-2-22−2i2i−2i2i2-2000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−2ζ72ζ7−2ζ72ζ7−1+i31−i3000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−2ζ112ζ11−2ζ112ζ11−1−i31+i3000000000000
χ4744-444-4-4-4000000000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i3000000000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i3000000000000000000
χ4844-4-4-444-4000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3000000000000000000
χ494-444-44-4-4000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3000000000000000000
χ504-44-44-44-4000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3000000000000000000
χ514-4-44-4-444000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i3000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i3000000000000000000
χ524-4-4-444-44000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i3000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i3000000000000000000
χ5311111111111111111111111111−1−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−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+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
χ54111111111111111-111-1-1-1-11-1-1-1−1−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−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+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+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32
χ5511111111111111-11-1-111-1-1-11-1-1−1−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−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+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+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32
χ5611111111111111-1-1-1-1-1-111-1-111−1−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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ571111111111-1-1-1-1111-11-11-1-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i321−i32−1+i321−i32
χ581111111111-1-1-1-11-11-1-11-11-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32
χ591111111111-1-1-1-1-11-111-1-111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32
χ601111111111-1-1-1-1-1-1-11-111-1111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i32
χ6111111111-1-111-1-111-11-111-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ6211111111-1-111-1-11-1-111-1-11-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32
χ6311111111-1-111-1-1-111-1-11-111-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i321−i32
χ6411111111-1-111-1-1-1-11-11-11-111-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i32−1+i32
χ6511111111-1-1-1-11111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ6611111111-1-1-1-1111-1-1-111-1-11-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32
χ6711111111-1-1-1-111-1111-1-1-1-1-1111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ6811111111-1-1-1-111-1-1111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ69222-2-2-2-222i−2i2i−2i2-2000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32ζ11−2ζ112ζ11−2ζ11−1−i31+i3000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32ζ7−2ζ72ζ7−2ζ7−1+i31−i3000000000000
χ70222-2-2-2-222i−2i−2i2i-22000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i3−1−i3000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i3−1+i3000000000000
χ71222-2-2-2-22−2i2i2i−2i-22000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i3−1−i3000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i3−1+i3000000000000
χ72222-2-2-2-22−2i2i−2i2i2-2000000000000−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−2ζ112ζ11−2ζ112ζ11−1−i31+i3000000000000−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−2ζ72ζ7−2ζ72ζ7−1+i31−i3000000000000
χ7344-444-4-4-4000000000000000000−2−2i3−2−2i32+2i3−2−2i3−2−2i32+2i32+2i32+2i3000000000000000000−2+2i3−2+2i32−2i3−2+2i3−2+2i32−2i32−2i32−2i3000000000000000000
χ7444-4-4-444-4000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3000000000000000000
χ754-444-44-4-4000000000000000000−2−2i32+2i3−2−2i3−2−2i32+2i3−2−2i32+2i32+2i3000000000000000000−2+2i32−2i3−2+2i3−2+2i32−2i3−2+2i32−2i32−2i3000000000000000000
χ764-44-44-44-4000000000000000000−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3−2−2i32+2i3000000000000000000−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3−2+2i32−2i3000000000000000000
χ774-4-44-4-444000000000000000000−2−2i32+2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i3000000000000000000−2+2i32−2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i3000000000000000000
χ784-4-4-444-44000000000000000000−2−2i32+2i32+2i32+2i3−2−2i3−2−2i32+2i3−2−2i3000000000000000000−2+2i32−2i32−2i32−2i3−2+2i3−2+2i32−2i3−2+2i3000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.