Finite Group Databasebeta

← Group #13180665

Character table — Group #13180665

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size144999312122727274161636363641616363636144999312122727274161636363641616363636144999312122727274161636363641616363636144999312122727274161636363641616363636
order1332442662443336121233361212412124444121244412121212121212121212121226624426624466661212666612124121244441212444121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
χ3111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i
χ4111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii
χ541-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-2000
χ64-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-21000
χ7111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ81111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ9111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11
χ10111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11
χ1141-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000
χ124-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000
χ13111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ141111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ15111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7
χ16111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7
χ1741-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000
χ184-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000
χ19333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000333333-1-1-1-1-1-1000000000000
χ203333-3-3-1-1-1-1110000000000003333-3-3-1-1-1-1110000000000003333-3-3-1-1-1-1110000000000003333-3-3-1-1-1-111000000000000
χ21333-33i−3i-1-1-11−ii000000000000333-33i−3i-1-1-11−ii000000000000333-33i−3i-1-1-11−ii000000000000333-33i−3i-1-1-11−ii000000000000
χ22333-3−3i3i-1-1-11i−i000000000000333-3−3i3i-1-1-11i−i000000000000333-3−3i3i-1-1-11i−i000000000000333-3−3i3i-1-1-11i−i000000000000
χ23123-6000-4-12000000000000000123-6000-4-12000000000000000123-6000-4-12000000000000000123-6000-4-12000000000000000
χ2412-63000-42-100000000000000012-63000-42-100000000000000012-63000-42-100000000000000012-63000-42-1000000000000000
χ25111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ261111-1-11111-1-11111-1-11111-1-1iiii−i−iiiii−i−iiiii−i−iiiii−i−i-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111−i−i−i−iii−i−i−i−iii−i−i−i−iii−i−i−i−iii
χ27111-1i−i111-1i−i111-1i−i111-1i−iiii−i-11iii−i-11iii−i-11iii−i-11-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii−i−i−ii1-1−i−i−ii1-1−i−i−ii1-1−i−i−ii1-1
χ28111-1−ii111-1−ii111-1−ii111-1−iiiii−i1-1iii−i1-1iii−i1-1iii−i1-1-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i−i−i−ii-11−i−i−ii-11−i−i−ii-11−i−i−ii-11
χ2941-200041-200041-200041-20004ii−2i0004ii−2i0004ii−2i0004ii−2i000-4-12000-4-12000-4-12000-4-12000−4i−i2i000−4i−i2i000−4i−i2i000−4i−i2i000
χ304-210004-210004-210004-210004i−2ii0004i−2ii0004i−2ii0004i−2ii000-42-1000-42-1000-42-1000-42-1000−4i2i−i000−4i2i−i000−4i2i−i000−4i2i−i000
χ31111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32iiiiiiiiiiiiζ7ζ7ζ7ζ7ζ7ζ7ζ11ζ11ζ11ζ11ζ11ζ11-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11
χ321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32iiii−i−iiiii−i−iζ7ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11−ζ11−ζ11-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−i−i−i−iii−i−i−i−iii−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ33111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11iii−i-11iii−i-11ζ7ζ7ζ7−ζ71−i32−1+i32ζ11ζ11ζ11−ζ111+i32−1−i32-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11−i−i−ii1-1−i−i−ii1-1−ζ7−ζ7−ζ7ζ7−1+i321−i32−ζ11−ζ11−ζ11ζ11−1−i321+i32
χ34111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11iii−i1-1iii−i1-1ζ7ζ7ζ7−ζ7−1+i321−i32ζ11ζ11ζ11−ζ11−1−i321+i32-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11−i−i−ii-11−i−i−ii-11−ζ7−ζ7−ζ7ζ71−i32−1+i32−ζ11−ζ11−ζ11ζ111+i32−1−i32
χ3541-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i30004ii−2i0004ii−2i0004ζ7ζ7−2ζ70004ζ11ζ11−2ζ11000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i3000−4i−i2i000−4i−i2i000−4ζ7−ζ72ζ7000−4ζ11−ζ112ζ11000
χ364-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i320004i−2ii0004i−2ii0004ζ7−2ζ7ζ70004ζ11−2ζ11ζ11000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i32000−4i2i−i000−4i2i−i000−4ζ72ζ7−ζ7000−4ζ112ζ11−ζ11000
χ37111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32iiiiiiiiiiiiζ11ζ11ζ11ζ11ζ11ζ11ζ7ζ7ζ7ζ7ζ7ζ7-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7
χ381111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32iiii−i−iiiii−i−iζ11ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7−ζ7−ζ7-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−i−i−i−iii−i−i−i−iii−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ39111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7iii−i-11iii−i-11ζ11ζ11ζ11−ζ111+i32−1−i32ζ7ζ7ζ7−ζ71−i32−1+i32-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7−i−i−ii1-1−i−i−ii1-1−ζ11−ζ11−ζ11ζ11−1−i321+i32−ζ7−ζ7−ζ7ζ7−1+i321−i32
χ40111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7iii−i1-1iii−i1-1ζ11ζ11ζ11−ζ11−1−i321+i32ζ7ζ7ζ7−ζ7−1+i321−i32-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7−i−i−ii-11−i−i−ii-11−ζ11−ζ11−ζ11ζ111+i32−1−i32−ζ7−ζ7−ζ7ζ71−i32−1+i32
χ4141-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i30004ii−2i0004ii−2i0004ζ11ζ11−2ζ110004ζ7ζ7−2ζ7000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i3000−4i−i2i000−4i−i2i000−4ζ11−ζ112ζ11000−4ζ7−ζ72ζ7000
χ424-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i320004i−2ii0004i−2ii0004ζ11−2ζ11ζ110004ζ7−2ζ7ζ7000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i32000−4i2i−i000−4i2i−i000−4ζ112ζ11−ζ11000−4ζ72ζ7−ζ7000
χ43333333-1-1-1-1-1-10000000000003i3i3i3i3i3i−i−i−i−i−i−i000000000000-3-3-3-3-3-3111111000000000000−3i−3i−3i−3i−3i−3iiiiiii000000000000
χ443333-3-3-1-1-1-1110000000000003i3i3i3i−3i−3i−i−i−i−iii000000000000-3-3-3-3331111-1-1000000000000−3i−3i−3i−3i3i3iiiii−i−i000000000000
χ45333-33i−3i-1-1-11−ii0000000000003i3i3i−3i-33−i−i−ii1-1000000000000-3-3-33−3i3i111-1i−i000000000000−3i−3i−3i3i3-3iii−i-11000000000000
χ46333-3−3i3i-1-1-11i−i0000000000003i3i3i−3i3-3−i−i−ii-11000000000000-3-3-333i−3i111-1−ii000000000000−3i−3i−3i3i-33iii−i1-1000000000000
χ47123-6000-4-1200000000000000012i3i−6i000−4i−i2i000000000000000-12-3600041-2000000000000000−12i−3i6i0004ii−2i000000000000000
χ4812-63000-42-100000000000000012i−6i3i000−4i2i−i000000000000000-126-30004-21000000000000000−12i6i−3i0004i−2ii000000000000000
χ49111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ501111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111
χ51111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−ii
χ52111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−i
χ5341-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-1200041-200041-200041-200041-2000-4-12000-4-12000-4-12000-4-12000
χ544-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-10004-210004-210004-210004-21000-42-1000-42-1000-42-1000-42-1000
χ55111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32
χ561111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32
χ57111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11
χ58111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11
χ5941-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i300041-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i3000
χ604-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i320004-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i32000
χ61111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32
χ621111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32
χ63111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7
χ64111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7
χ6541-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i300041-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i3000
χ664-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i320004-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i32000
χ67333333-1-1-1-1-1-1000000000000-3-3-3-3-3-3111111000000000000333333-1-1-1-1-1-1000000000000-3-3-3-3-3-3111111000000000000
χ683333-3-3-1-1-1-111000000000000-3-3-3-3331111-1-10000000000003333-3-3-1-1-1-111000000000000-3-3-3-3331111-1-1000000000000
χ69333-33i−3i-1-1-11−ii000000000000-3-3-33−3i3i111-1i−i000000000000333-33i−3i-1-1-11−ii000000000000-3-3-33−3i3i111-1i−i000000000000
χ70333-3−3i3i-1-1-11i−i000000000000-3-3-333i−3i111-1−ii000000000000333-3−3i3i-1-1-11i−i000000000000-3-3-333i−3i111-1−ii000000000000
χ71123-6000-4-12000000000000000-12-3600041-2000000000000000123-6000-4-12000000000000000-12-3600041-2000000000000000
χ7212-63000-42-1000000000000000-126-30004-2100000000000000012-63000-42-1000000000000000-126-30004-21000000000000000
χ73111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii
χ741111-1-11111-1-11111-1-11111-1-1−i−i−i−iii−i−i−i−iii−i−i−i−iii−i−i−i−iii-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111iiii−i−iiiii−i−iiiii−i−iiiii−i−i
χ75111-1i−i111-1i−i111-1i−i111-1i−i−i−i−ii1-1−i−i−ii1-1−i−i−ii1-1−i−i−ii1-1-1-1-11−ii-1-1-11−ii-1-1-11−ii-1-1-11−iiiii−i-11iii−i-11iii−i-11iii−i-11
χ76111-1−ii111-1−ii111-1−ii111-1−ii−i−i−ii-11−i−i−ii-11−i−i−ii-11−i−i−ii-11-1-1-11i−i-1-1-11i−i-1-1-11i−i-1-1-11i−iiii−i1-1iii−i1-1iii−i1-1iii−i1-1
χ7741-200041-200041-200041-2000−4i−i2i000−4i−i2i000−4i−i2i000−4i−i2i000-4-12000-4-12000-4-12000-4-120004ii−2i0004ii−2i0004ii−2i0004ii−2i000
χ784-210004-210004-210004-21000−4i2i−i000−4i2i−i000−4i2i−i000−4i2i−i000-42-1000-42-1000-42-1000-42-10004i−2ii0004i−2ii0004i−2ii0004i−2ii000
χ79111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−i−i−i−i−i−i−i−i−i−i−i−i−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32iiiiiiiiiiiiζ7ζ7ζ7ζ7ζ7ζ7ζ11ζ11ζ11ζ11ζ11ζ11
χ801111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−i−i−i−iii−i−i−i−iii−ζ7−ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11−ζ11−ζ11ζ11ζ11-1-1-1-111-1-1-1-1111−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32iiii−i−iiiii−i−iζ7ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11ζ11ζ11−ζ11−ζ11
χ81111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−i−i−ii1-1−i−i−ii1-1−ζ7−ζ7−ζ7ζ7−1+i321−i32−ζ11−ζ11−ζ11ζ11−1−i321+i32-1-1-11−ii-1-1-11−ii1−i321−i321−i32−1+i32−ζ7ζ71+i321+i321+i32−1−i32−ζ11ζ11iii−i-11iii−i-11ζ7ζ7ζ7−ζ71−i32−1+i32ζ11ζ11ζ11−ζ111+i32−1−i32
χ82111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−i−i−ii-11−i−i−ii-11−ζ7−ζ7−ζ7ζ71−i32−1+i32−ζ11−ζ11−ζ11ζ111+i32−1−i32-1-1-11i−i-1-1-11i−i1−i321−i321−i32−1+i32ζ7−ζ71+i321+i321+i32−1−i32ζ11−ζ11iii−i1-1iii−i1-1ζ7ζ7ζ7−ζ7−1+i321−i32ζ11ζ11ζ11−ζ11−1−i321+i32
χ8341-200041-2000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−4i−i2i000−4i−i2i000−4ζ7−ζ72ζ7000−4ζ11−ζ112ζ11000-4-12000-4-120002−2i31−i32−1+i30002+2i31+i32−1−i30004ii−2i0004ii−2i0004ζ7ζ7−2ζ70004ζ11ζ11−2ζ11000
χ844-210004-21000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−4i2i−i000−4i2i−i000−4ζ72ζ7−ζ7000−4ζ112ζ11−ζ11000-42-1000-42-10002−2i3−1+i31−i320002+2i3−1−i31+i320004i−2ii0004i−2ii0004ζ7−2ζ7ζ70004ζ11−2ζ11ζ11000
χ85111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−i−i−i−i−i−i−i−i−i−i−i−i−ζ11−ζ11−ζ11−ζ11−ζ11−ζ11−ζ7−ζ7−ζ7−ζ7−ζ7−ζ7-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32iiiiiiiiiiiiζ11ζ11ζ11ζ11ζ11ζ11ζ7ζ7ζ7ζ7ζ7ζ7
χ861111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−i−i−i−iii−i−i−i−iii−ζ11−ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7−ζ7−ζ7ζ7ζ7-1-1-1-111-1-1-1-1111+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32iiii−i−iiiii−i−iζ11ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7ζ7ζ7−ζ7−ζ7
χ87111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−i−i−ii1-1−i−i−ii1-1−ζ11−ζ11−ζ11ζ11−1−i321+i32−ζ7−ζ7−ζ7ζ7−1+i321−i32-1-1-11−ii-1-1-11−ii1+i321+i321+i32−1−i32−ζ11ζ111−i321−i321−i32−1+i32−ζ7ζ7iii−i-11iii−i-11ζ11ζ11ζ11−ζ111+i32−1−i32ζ7ζ7ζ7−ζ71−i32−1+i32
χ88111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−i−i−ii-11−i−i−ii-11−ζ11−ζ11−ζ11ζ111+i32−1−i32−ζ7−ζ7−ζ7ζ71−i32−1+i32-1-1-11i−i-1-1-11i−i1+i321+i321+i32−1−i32ζ11−ζ111−i321−i321−i32−1+i32ζ7−ζ7iii−i1-1iii−i1-1ζ11ζ11ζ11−ζ11−1−i321+i32ζ7ζ7ζ7−ζ7−1+i321−i32
χ8941-200041-2000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−4i−i2i000−4i−i2i000−4ζ11−ζ112ζ11000−4ζ7−ζ72ζ7000-4-12000-4-120002+2i31+i32−1−i30002−2i31−i32−1+i30004ii−2i0004ii−2i0004ζ11ζ11−2ζ110004ζ7ζ7−2ζ7000
χ904-210004-21000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−4i2i−i000−4i2i−i000−4ζ112ζ11−ζ11000−4ζ72ζ7−ζ7000-42-1000-42-10002+2i3−1−i31+i320002−2i3−1+i31−i320004i−2ii0004i−2ii0004ζ11−2ζ11ζ110004ζ7−2ζ7ζ7000
χ91333333-1-1-1-1-1-1000000000000−3i−3i−3i−3i−3i−3iiiiiii000000000000-3-3-3-3-3-31111110000000000003i3i3i3i3i3i−i−i−i−i−i−i000000000000
χ923333-3-3-1-1-1-111000000000000−3i−3i−3i−3i3i3iiiii−i−i000000000000-3-3-3-3331111-1-10000000000003i3i3i3i−3i−3i−i−i−i−iii000000000000
χ93333-33i−3i-1-1-11−ii000000000000−3i−3i−3i3i3-3iii−i-11000000000000-3-3-33−3i3i111-1i−i0000000000003i3i3i−3i-33−i−i−ii1-1000000000000
χ94333-3−3i3i-1-1-11i−i000000000000−3i−3i−3i3i-33iii−i1-1000000000000-3-3-333i−3i111-1−ii0000000000003i3i3i−3i3-3−i−i−ii-11000000000000
χ95123-6000-4-12000000000000000−12i−3i6i0004ii−2i000000000000000-12-3600041-200000000000000012i3i−6i000−4i−i2i000000000000000
χ9612-63000-42-1000000000000000−12i6i−3i0004i−2ii000000000000000-126-30004-2100000000000000012i−6i3i000−4i2i−i000000000000000

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