Finite Group Databasebeta

← Group #11724503

Character table — Group #11724503

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size144999144999288181818288181818288181818144999144999288181818288181818288181818144999144999288181818288181818288181818
order133244266244266244266244412124443336121266661212666612126666121212121212121233361212666612126666121266661212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-11111-1-1
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−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−ii
χ541-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-200041-2000
χ64-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-210004-21000
χ7111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ81111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111
χ9111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii
χ10111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i
χ1141-200041-200041-2000-4-12000-4-1200041-200041-200041-2000-4-12000-4-1200041-200041-200041-2000-4-12000-4-12000
χ124-210004-210004-21000-42-1000-42-10004-210004-210004-21000-42-1000-42-10004-210004-210004-21000-42-1000-42-1000
χ13111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ141111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ15111-1i−i111-1i−i-1-1-11−ii111-1i−i-1-1-11−ii111-1i−i111-1i−i-1-1-11−ii111-1i−i-1-1-11−ii111-1i−i111-1i−i-1-1-11−ii111-1i−i-1-1-11−ii
χ16111-1−ii111-1−ii-1-1-11i−i111-1−ii-1-1-11i−i111-1−ii111-1−ii-1-1-11i−i111-1−ii-1-1-11i−i111-1−ii111-1−ii-1-1-11i−i111-1−ii-1-1-11i−i
χ1741-200041-2000-4-1200041-2000-4-1200041-200041-2000-4-1200041-2000-4-1200041-200041-2000-4-1200041-2000-4-12000
χ184-210004-21000-42-10004-21000-42-10004-210004-21000-42-10004-21000-42-10004-210004-21000-42-10004-21000-42-1000
χ19111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ201111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ21111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i
χ22111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii
χ2341-200041-2000-4-12000-4-1200041-200041-200041-2000-4-12000-4-1200041-200041-200041-2000-4-12000-4-1200041-2000
χ244-210004-21000-42-1000-42-10004-210004-210004-21000-42-1000-42-10004-210004-210004-21000-42-1000-42-10004-21000
χ25222222-2-2-2-2-2-2000000000000000000222222-2-2-2-2-2-2000000000000000000222222-2-2-2-2-2-2000000000000000000
χ262222-2-2-2-2-2-2220000000000000000002222-2-2-2-2-2-2220000000000000000002222-2-2-2-2-2-222000000000000000000
χ27222-22i−2i-2-2-22−2i2i000000000000000000222-22i−2i-2-2-22−2i2i000000000000000000222-22i−2i-2-2-22−2i2i000000000000000000
χ28222-2−2i2i-2-2-222i−2i000000000000000000222-2−2i2i-2-2-222i−2i000000000000000000222-2−2i2i-2-2-222i−2i000000000000000000
χ2982-4000-8-2400000000000000000000082-4000-8-2400000000000000000000082-4000-8-24000000000000000000000
χ308-42000-84-20000000000000000000008-42000-84-20000000000000000000008-42000-84-2000000000000000000000
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
χ321111-1-11111-1-11111-1-11111-1-11111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ33111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11
χ34111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11
χ3541-200041-200041-200041-200041-2000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000
χ364-210004-210004-210004-210004-21000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000
χ37111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ381111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ39111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ71−i321−i321−i32−1+i32−ζ7ζ71−i321−i321−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ111+i321+i321+i32−1−i32−ζ11ζ111+i321+i321+i32−1−i32−ζ11ζ11
χ40111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ71−i321−i321−i32−1+i32ζ7−ζ71−i321−i321−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ111+i321+i321+i32−1−i32ζ11−ζ111+i321+i321+i32−1−i32ζ11−ζ11
χ4141-200041-200041-2000-4-12000-4-12000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i30002−2i31−i32−1+i30002−2i31−i32−1+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i30002+2i31+i32−1−i30002+2i31+i32−1−i3000
χ424-210004-210004-21000-42-1000-42-1000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i320002−2i3−1+i31−i320002−2i3−1+i31−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i320002+2i3−1−i31+i320002+2i3−1−i31+i32000
χ43111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ441111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ45111-1i−i111-1i−i-1-1-11−ii111-1i−i-1-1-11−ii−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ71−i321−i321−i32−1+i32−ζ7ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ71−i321−i321−i32−1+i32−ζ7ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ111+i321+i321+i32−1−i32−ζ11ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ111+i321+i321+i32−1−i32−ζ11ζ11
χ46111-1−ii111-1−ii-1-1-11i−i111-1−ii-1-1-11i−i−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ71−i321−i321−i32−1+i32ζ7−ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ71−i321−i321−i32−1+i32ζ7−ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ111+i321+i321+i32−1−i32ζ11−ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ111+i321+i321+i32−1−i32ζ11−ζ11
χ4741-200041-2000-4-1200041-2000-4-12000−2+2i3−1+i321−i3000−2+2i3−1+i321−i30002−2i31−i32−1+i3000−2+2i3−1+i321−i30002−2i31−i32−1+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i30002+2i31+i32−1−i3000−2−2i3−1−i321+i30002+2i31+i32−1−i3000
χ484-210004-21000-42-10004-21000-42-1000−2+2i31−i3−1+i32000−2+2i31−i3−1+i320002−2i3−1+i31−i32000−2+2i31−i3−1+i320002−2i3−1+i31−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i320002+2i3−1−i31+i32000−2−2i31+i3−1−i320002+2i3−1−i31+i32000
χ49111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ501111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ51111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ71−i321−i321−i32−1+i32−ζ7ζ71−i321−i321−i32−1+i32−ζ7ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ111+i321+i321+i32−1−i32−ζ11ζ111+i321+i321+i32−1−i32−ζ11ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11
χ52111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ71−i321−i321−i32−1+i32ζ7−ζ71−i321−i321−i32−1+i32ζ7−ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ111+i321+i321+i32−1−i32ζ11−ζ111+i321+i321+i32−1−i32ζ11−ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11
χ5341-200041-2000-4-12000-4-1200041-2000−2+2i3−1+i321−i3000−2+2i3−1+i321−i30002−2i31−i32−1+i30002−2i31−i32−1+i3000−2+2i3−1+i321−i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i30002+2i31+i32−1−i30002+2i31+i32−1−i3000−2−2i3−1−i321+i3000
χ544-210004-21000-42-1000-42-10004-21000−2+2i31−i3−1+i32000−2+2i31−i3−1+i320002−2i3−1+i31−i320002−2i3−1+i31−i32000−2+2i31−i3−1+i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i320002+2i3−1−i31+i320002+2i3−1−i31+i32000−2−2i31+i3−1−i32000
χ55222222-2-2-2-2-2-2000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000000000
χ562222-2-2-2-2-2-222000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000000000000
χ57222-22i−2i-2-2-22−2i2i000000000000000000−1+i3−1+i3−1+i31−i32ζ7−2ζ71−i31−i31−i3−1+i3−2ζ72ζ7000000000000000000−1−i3−1−i3−1−i31+i32ζ11−2ζ111+i31+i31+i3−1−i3−2ζ112ζ11000000000000000000
χ58222-2−2i2i-2-2-222i−2i000000000000000000−1+i3−1+i3−1+i31−i3−2ζ72ζ71−i31−i31−i3−1+i32ζ7−2ζ7000000000000000000−1−i3−1−i3−1−i31+i3−2ζ112ζ111+i31+i31+i3−1−i32ζ11−2ζ11000000000000000000
χ5982-4000-8-24000000000000000000000−4+4i3−1+i32−2i30004−4i31−i3−2+2i3000000000000000000000−4−4i3−1−i32+2i30004+4i31+i3−2−2i3000000000000000000000
χ608-42000-84-2000000000000000000000−4+4i32−2i3−1+i30004−4i3−2+2i31−i3000000000000000000000−4−4i32+2i3−1−i30004+4i3−2−2i31+i3000000000000000000000
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
χ621111-1-11111-1-11111-1-11111-1-11111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ63111-1i−i111-1i−i111-1i−i111-1i−i111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7
χ64111-1−ii111-1−ii111-1−ii111-1−ii111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7
χ6541-200041-200041-200041-200041-2000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000
χ664-210004-210004-210004-210004-21000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000
χ67111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−1−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−i321+i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ681111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ69111-1i−i111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ111+i321+i321+i32−1−i32−ζ11ζ111+i321+i321+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ71−i321−i321−i32−1+i32−ζ7ζ71−i321−i321−i32−1+i32−ζ7ζ7
χ70111-1−ii111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ111+i321+i321+i32−1−i32ζ11−ζ111+i321+i321+i32−1−i32ζ11−ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ71−i321−i321−i32−1+i32ζ7−ζ71−i321−i321−i32−1+i32ζ7−ζ7
χ7141-200041-200041-2000-4-12000-4-12000−2−2i3−1−i321+i3000−2−2i3−1−i321+i3000−2−2i3−1−i321+i30002+2i31+i32−1−i30002+2i31+i32−1−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i30002−2i31−i32−1+i30002−2i31−i32−1+i3000
χ724-210004-210004-21000-42-1000-42-1000−2−2i31+i3−1−i32000−2−2i31+i3−1−i32000−2−2i31+i3−1−i320002+2i3−1−i31+i320002+2i3−1−i31+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i320002−2i3−1+i31−i320002−2i3−1+i31−i32000
χ73111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ741111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ75111-1i−i111-1i−i-1-1-11−ii111-1i−i-1-1-11−ii−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ111+i321+i321+i32−1−i32−ζ11ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ111+i321+i321+i32−1−i32−ζ11ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ71−i321−i321−i32−1+i32−ζ7ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ71−i321−i321−i32−1+i32−ζ7ζ7
χ76111-1−ii111-1−ii-1-1-11i−i111-1−ii-1-1-11i−i−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ111+i321+i321+i32−1−i32ζ11−ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ111+i321+i321+i32−1−i32ζ11−ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ71−i321−i321−i32−1+i32ζ7−ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ71−i321−i321−i32−1+i32ζ7−ζ7
χ7741-200041-2000-4-1200041-2000-4-12000−2−2i3−1−i321+i3000−2−2i3−1−i321+i30002+2i31+i32−1−i3000−2−2i3−1−i321+i30002+2i31+i32−1−i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i30002−2i31−i32−1+i3000−2+2i3−1+i321−i30002−2i31−i32−1+i3000
χ784-210004-21000-42-10004-21000-42-1000−2−2i31+i3−1−i32000−2−2i31+i3−1−i320002+2i3−1−i31+i32000−2−2i31+i3−1−i320002+2i3−1−i31+i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i320002−2i3−1+i31−i32000−2+2i31−i3−1+i320002−2i3−1+i31−i32000
χ79111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ801111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ81111-1i−i111-1i−i-1-1-11−ii-1-1-11−ii111-1i−i−1−i32−1−i32−1−i321+i32ζ11−ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ111+i321+i321+i32−1−i32−ζ11ζ111+i321+i321+i32−1−i32−ζ11ζ11−1−i32−1−i32−1−i321+i32ζ11−ζ11−1+i32−1+i32−1+i321−i32ζ7−ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ71−i321−i321−i32−1+i32−ζ7ζ71−i321−i321−i32−1+i32−ζ7ζ7−1+i32−1+i32−1+i321−i32ζ7−ζ7
χ82111-1−ii111-1−ii-1-1-11i−i-1-1-11i−i111-1−ii−1−i32−1−i32−1−i321+i32−ζ11ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ111+i321+i321+i32−1−i32ζ11−ζ111+i321+i321+i32−1−i32ζ11−ζ11−1−i32−1−i32−1−i321+i32−ζ11ζ11−1+i32−1+i32−1+i321−i32−ζ7ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ71−i321−i321−i32−1+i32ζ7−ζ71−i321−i321−i32−1+i32ζ7−ζ7−1+i32−1+i32−1+i321−i32−ζ7ζ7
χ8341-200041-2000-4-12000-4-1200041-2000−2−2i3−1−i321+i3000−2−2i3−1−i321+i30002+2i31+i32−1−i30002+2i31+i32−1−i3000−2−2i3−1−i321+i3000−2+2i3−1+i321−i3000−2+2i3−1+i321−i30002−2i31−i32−1+i30002−2i31−i32−1+i3000−2+2i3−1+i321−i3000
χ844-210004-21000-42-1000-42-10004-21000−2−2i31+i3−1−i32000−2−2i31+i3−1−i320002+2i3−1−i31+i320002+2i3−1−i31+i32000−2−2i31+i3−1−i32000−2+2i31−i3−1+i32000−2+2i31−i3−1+i320002−2i3−1+i31−i320002−2i3−1+i31−i32000−2+2i31−i3−1+i32000
χ85222222-2-2-2-2-2-2000000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3000000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3000000000000000000
χ862222-2-2-2-2-2-222000000000000000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3000000000000000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3000000000000000000
χ87222-22i−2i-2-2-22−2i2i000000000000000000−1−i3−1−i3−1−i31+i32ζ11−2ζ111+i31+i31+i3−1−i3−2ζ112ζ11000000000000000000−1+i3−1+i3−1+i31−i32ζ7−2ζ71−i31−i31−i3−1+i3−2ζ72ζ7000000000000000000
χ88222-2−2i2i-2-2-222i−2i000000000000000000−1−i3−1−i3−1−i31+i3−2ζ112ζ111+i31+i31+i3−1−i32ζ11−2ζ11000000000000000000−1+i3−1+i3−1+i31−i3−2ζ72ζ71−i31−i31−i3−1+i32ζ7−2ζ7000000000000000000
χ8982-4000-8-24000000000000000000000−4−4i3−1−i32+2i30004+4i31+i3−2−2i3000000000000000000000−4+4i3−1+i32−2i30004−4i31−i3−2+2i3000000000000000000000
χ908-42000-84-2000000000000000000000−4−4i32+2i3−1−i30004+4i3−2−2i31+i3000000000000000000000−4+4i32−2i3−1+i30004−4i3−2+2i31−i3000000000000000000000

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