Finite Group Databasebeta

← Group #64029

Character table — Group #64029

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444443333666666111122222222224444443333666666111122222222224444443333666666
order1244248888361212612242424242244248888361212612242424243612126122424242466121261224242424361212612242424243612126122424242466121261224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1
χ31111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-11111-1-111-1-1
χ41111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ511-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i
χ611-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii
χ711-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii
χ811-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i
χ92-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i0000002-22i−2i000000
χ102-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i0000002-2−2i2i000000
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ12111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111
χ131111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-1111111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111
χ141111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1
χ1511-1-11-1i−ii−i11-1-11-1i−ii−i-1-111-11−ii−ii11-1-11-1i−ii−i11-1-11-1i−ii−i-1-111-11−ii−ii11-1-11-1i−ii−i11-1-11-1i−ii−i-1-111-11−ii−ii
χ1611-1-11-1−ii−ii11-1-11-1−ii−ii-1-111-11i−ii−i11-1-11-1−ii−ii11-1-11-1−ii−ii-1-111-11i−ii−i11-1-11-1−ii−ii11-1-11-1−ii−ii-1-111-11i−ii−i
χ1711-1-1-11i−i−ii11-1-1-11i−i−ii-1-1111-1−iii−i11-1-1-11i−i−ii11-1-1-11i−i−ii-1-1111-1−iii−i11-1-1-11i−i−ii11-1-1-11i−i−ii-1-1111-1−iii−i
χ1811-1-1-11−iii−i11-1-1-11−iii−i-1-1111-1i−i−ii11-1-1-11−iii−i11-1-1-11−iii−i-1-1111-1i−i−ii11-1-1-11−iii−i11-1-1-11−iii−i-1-1111-1i−i−ii
χ192-22i−2i0000002-22i−2i000000-22−2i2i0000002-22i−2i0000002-22i−2i000000-22−2i2i0000002-22i−2i0000002-22i−2i000000-22−2i2i000000
χ202-2−2i2i0000002-2−2i2i000000-222i−2i0000002-2−2i2i0000002-2−2i2i000000-222i−2i0000002-2−2i2i0000002-2−2i2i000000-222i−2i000000
χ212222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-100000000002222222222-1-1-1-1-1-1-1-1-1-10000000000
χ22222222-2-2-2-2-1-1-1-1-1-111110000000000222222-2-2-2-2-1-1-1-1-1-111110000000000222222-2-2-2-2-1-1-1-1-1-111110000000000
χ232222-2-222-2-2-1-1-1-111-1-11100000000002222-2-222-2-2-1-1-1-111-1-11100000000002222-2-222-2-2-1-1-1-111-1-1110000000000
χ242222-2-2-2-222-1-1-1-11111-1-100000000002222-2-2-2-222-1-1-1-11111-1-100000000002222-2-2-2-222-1-1-1-11111-1-10000000000
χ2522-2-22-22i−2i2i−2i-1-111-11−ii−ii000000000022-2-22-22i−2i2i−2i-1-111-11−ii−ii000000000022-2-22-22i−2i2i−2i-1-111-11−ii−ii0000000000
χ2622-2-22-2−2i2i−2i2i-1-111-11i−ii−i000000000022-2-22-2−2i2i−2i2i-1-111-11i−ii−i000000000022-2-22-2−2i2i−2i2i-1-111-11i−ii−i0000000000
χ2722-2-2-222i−2i−2i2i-1-1111-1−iii−i000000000022-2-2-222i−2i−2i2i-1-1111-1−iii−i000000000022-2-2-222i−2i−2i2i-1-1111-1−iii−i0000000000
χ2822-2-2-22−2i2i2i−2i-1-1111-1i−i−ii000000000022-2-2-22−2i2i2i−2i-1-1111-1i−i−ii000000000022-2-2-22−2i2i2i−2i-1-1111-1i−i−ii0000000000
χ294-44i−4i000000-22−2i2i00000000000000004-44i−4i000000-22−2i2i00000000000000004-44i−4i000000-22−2i2i0000000000000000
χ304-4−4i4i000000-222i−2i00000000000000004-4−4i4i000000-222i−2i00000000000000004-4−4i4i000000-222i−2i0000000000000000
χ31111111111111111111111111111111−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ32111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1−1+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+i321−i321−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−i321+i321+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−i321+i321+i321+i321+i32
χ331111-1-111-1-11111-1-111-1-11111-1-111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ341111-1-1-1-1111111-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−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+i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ3511-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ3611-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ3711-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11
χ3811-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11
χ392-22i−2i0000002-22i−2i0000002-22i−2i000000−1+i31−i32ζ7−2ζ7000000−1+i31−i32ζ7−2ζ7000000−1+i31−i32ζ7−2ζ7000000−1−i31+i32ζ11−2ζ11000000−1−i31+i32ζ11−2ζ11000000−1−i31+i32ζ11−2ζ11000000
χ402-2−2i2i0000002-2−2i2i0000002-2−2i2i000000−1+i31−i3−2ζ72ζ7000000−1+i31−i3−2ζ72ζ7000000−1+i31−i3−2ζ72ζ7000000−1−i31+i3−2ζ112ζ11000000−1−i31+i3−2ζ112ζ11000000−1−i31+i3−2ζ112ζ11000000
χ4111111111111111111111-1-1-1-1-1-1-1-1-1-1−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−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−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+i321+i321+i321+i32
χ42111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1+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+i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ431111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−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−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ441111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4511-1-11-1i−ii−i11-1-11-1i−ii−i-1-111-11−ii−ii−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ4611-1-11-1−ii−ii11-1-11-1−ii−ii-1-111-11i−ii−i−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ4711-1-1-11i−i−ii11-1-1-11i−i−ii-1-1111-1−iii−i−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11
χ4811-1-1-11−iii−i11-1-1-11−iii−i-1-1111-1i−i−ii−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11
χ492-22i−2i0000002-22i−2i000000-22−2i2i000000−1+i31−i32ζ7−2ζ7000000−1+i31−i32ζ7−2ζ70000001−i3−1+i3−2ζ72ζ7000000−1−i31+i32ζ11−2ζ11000000−1−i31+i32ζ11−2ζ110000001+i3−1−i3−2ζ112ζ11000000
χ502-2−2i2i0000002-2−2i2i000000-222i−2i000000−1+i31−i3−2ζ72ζ7000000−1+i31−i3−2ζ72ζ70000001−i3−1+i32ζ7−2ζ7000000−1−i31+i3−2ζ112ζ11000000−1−i31+i3−2ζ112ζ110000001+i3−1−i32ζ11−2ζ11000000
χ512222222222-1-1-1-1-1-1-1-1-1-10000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000
χ52222222-2-2-2-2-1-1-1-1-1-111110000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000
χ532222-2-222-2-2-1-1-1-111-1-1110000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000
χ542222-2-2-2-222-1-1-1-11111-1-10000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000
χ5522-2-22-22i−2i2i−2i-1-111-11−ii−ii0000000000−1+i3−1+i31−i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ71−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000000000−1−i3−1−i31+i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ111+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000000000
χ5622-2-22-2−2i2i−2i2i-1-111-11i−ii−i0000000000−1+i3−1+i31−i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ71−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000000000−1−i3−1−i31+i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ111+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000000000
χ5722-2-2-222i−2i−2i2i-1-1111-1−iii−i0000000000−1+i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000000000−1−i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000000000
χ5822-2-2-22−2i2i2i−2i-1-1111-1i−i−ii0000000000−1+i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000000000−1−i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000000000
χ594-44i−4i000000-22−2i2i0000000000000000−2+2i32−2i34ζ7−4ζ70000001−i3−1+i3−2ζ72ζ70000000000000000−2−2i32+2i34ζ11−4ζ110000001+i3−1−i3−2ζ112ζ110000000000000000
χ604-4−4i4i000000-222i−2i0000000000000000−2+2i32−2i3−4ζ74ζ70000001−i3−1+i32ζ7−2ζ70000000000000000−2−2i32+2i3−4ζ114ζ110000001+i3−1−i32ζ11−2ζ110000000000000000
χ61111111111111111111111111111111−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ62111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1−1−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−i321+i321+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+i321−i321−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+i321−i321−i321−i321−i32
χ631111-1-111-1-11111-1-111-1-11111-1-111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ641111-1-1-1-1111111-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+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−i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ6511-1-11-1i−ii−i11-1-11-1i−ii−i11-1-11-1i−ii−i−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ6611-1-11-1−ii−ii11-1-11-1−ii−ii11-1-11-1−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ6711-1-1-11i−i−ii11-1-1-11i−i−ii11-1-1-11i−i−ii−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7
χ6811-1-1-11−iii−i11-1-1-11−iii−i11-1-1-11−iii−i−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7
χ692-22i−2i0000002-22i−2i0000002-22i−2i000000−1−i31+i32ζ11−2ζ11000000−1−i31+i32ζ11−2ζ11000000−1−i31+i32ζ11−2ζ11000000−1+i31−i32ζ7−2ζ7000000−1+i31−i32ζ7−2ζ7000000−1+i31−i32ζ7−2ζ7000000
χ702-2−2i2i0000002-2−2i2i0000002-2−2i2i000000−1−i31+i3−2ζ112ζ11000000−1−i31+i3−2ζ112ζ11000000−1−i31+i3−2ζ112ζ11000000−1+i31−i3−2ζ72ζ7000000−1+i31−i3−2ζ72ζ7000000−1+i31−i3−2ζ72ζ7000000
χ7111111111111111111111-1-1-1-1-1-1-1-1-1-1−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+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+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−i321−i321−i321−i32
χ72111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111−1−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−i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ731111-1-111-1-11111-1-111-1-1-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+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+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ741111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ7511-1-11-1i−ii−i11-1-11-1i−ii−i-1-111-11−ii−ii−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1−i32−1−i321+i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ111+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1+i32−1+i321−i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ71−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ7611-1-11-1−ii−ii11-1-11-1−ii−ii-1-111-11i−ii−i−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1−i32−1−i321+i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ111+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1+i32−1+i321−i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ71−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ7711-1-1-11i−i−ii11-1-1-11i−i−ii-1-1111-1−iii−i−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ11−1−i32−1−i321+i321+i321+i32−1−i32ζ11−ζ11−ζ11ζ111+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ7−1+i32−1+i321−i321−i321−i32−1+i32ζ7−ζ7−ζ7ζ71−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ7
χ7811-1-1-11−iii−i11-1-1-11−iii−i-1-1111-1i−i−ii−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ11−1−i32−1−i321+i321+i321+i32−1−i32−ζ11ζ11ζ11−ζ111+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ11−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ7−1+i32−1+i321−i321−i321−i32−1+i32−ζ7ζ7ζ7−ζ71−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ7
χ792-22i−2i0000002-22i−2i000000-22−2i2i000000−1−i31+i32ζ11−2ζ11000000−1−i31+i32ζ11−2ζ110000001+i3−1−i3−2ζ112ζ11000000−1+i31−i32ζ7−2ζ7000000−1+i31−i32ζ7−2ζ70000001−i3−1+i3−2ζ72ζ7000000
χ802-2−2i2i0000002-2−2i2i000000-222i−2i000000−1−i31+i3−2ζ112ζ11000000−1−i31+i3−2ζ112ζ110000001+i3−1−i32ζ11−2ζ11000000−1+i31−i3−2ζ72ζ7000000−1+i31−i3−2ζ72ζ70000001−i3−1+i32ζ7−2ζ7000000
χ812222222222-1-1-1-1-1-1-1-1-1-10000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i321+i321+i321+i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i321−i321−i321−i321−i321−i320000000000
χ82222222-2-2-2-2-1-1-1-1-1-111110000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i320000000000
χ832222-2-222-2-2-1-1-1-111-1-1110000000000−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i320000000000−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i320000000000
χ842222-2-2-2-222-1-1-1-11111-1-10000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i320000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i320000000000
χ8522-2-22-22i−2i2i−2i-1-111-11−ii−ii0000000000−1−i3−1−i31+i31+i3−1−i31+i32ζ11−2ζ112ζ11−2ζ111+i321+i32−1−i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ110000000000−1+i3−1+i31−i31−i3−1+i31−i32ζ7−2ζ72ζ7−2ζ71−i321−i32−1+i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ70000000000
χ8622-2-22-2−2i2i−2i2i-1-111-11i−ii−i0000000000−1−i3−1−i31+i31+i3−1−i31+i3−2ζ112ζ11−2ζ112ζ111+i321+i32−1−i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ110000000000−1+i3−1+i31−i31−i3−1+i31−i3−2ζ72ζ7−2ζ72ζ71−i321−i32−1+i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ70000000000
χ8722-2-2-222i−2i−2i2i-1-1111-1−iii−i0000000000−1−i3−1−i31+i31+i31+i3−1−i32ζ11−2ζ11−2ζ112ζ111+i321+i32−1−i32−1−i32−1−i321+i32−ζ11ζ11ζ11−ζ110000000000−1+i3−1+i31−i31−i31−i3−1+i32ζ7−2ζ7−2ζ72ζ71−i321−i32−1+i32−1+i32−1+i321−i32−ζ7ζ7ζ7−ζ70000000000
χ8822-2-2-22−2i2i2i−2i-1-1111-1i−i−ii0000000000−1−i3−1−i31+i31+i31+i3−1−i3−2ζ112ζ112ζ11−2ζ111+i321+i32−1−i32−1−i32−1−i321+i32ζ11−ζ11−ζ11ζ110000000000−1+i3−1+i31−i31−i31−i3−1+i3−2ζ72ζ72ζ7−2ζ71−i321−i32−1+i32−1+i32−1+i321−i32ζ7−ζ7−ζ7ζ70000000000
χ894-44i−4i000000-22−2i2i0000000000000000−2−2i32+2i34ζ11−4ζ110000001+i3−1−i3−2ζ112ζ110000000000000000−2+2i32−2i34ζ7−4ζ70000001−i3−1+i3−2ζ72ζ70000000000000000
χ904-4−4i4i000000-222i−2i0000000000000000−2−2i32+2i3−4ζ114ζ110000001+i3−1−i32ζ11−2ζ110000000000000000−2+2i32−2i3−4ζ74ζ70000001−i3−1+i32ζ7−2ζ70000000000000000

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