Finite Group Databasebeta

← Group #11923272

Character table — Group #11923272

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222444444444444444466666688888888888812121212121212161616161616161616161616161616161818242424242424242424242436363648484848
order12223446663344666666121212121212224444336666661212121222244121212121212121212121212121212121212446666661212121212244661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-111111111111111-11-1111111111111111111-1-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-1111111-1-111-1-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111-11111-111111-1-1-1-1-1-1
χ4111111111111-1-1111111-1-111-1-1-1-111-1-11111111111111-11-1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111−1−i32−1+i3211−1−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+i321111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1+i32−1−i32−1+i32
χ61111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-11-111−1−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−i32−1+i32−1+i32-1-1111+i321+i321−i321−i3211+i321+i321−i321−i32-1-1-11+i321−i321+i321−i32
χ71111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1-1-1111+i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32111-1−1−i32−1−i32−1+i32−1+i32-1−1−i32−1−i32−1+i32−1+i321-1-11+i321−i321+i321−i32
χ81111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-11111+i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-11-11+i321+i321−i321−i32-11+i321+i321−i321−i32-111−1−i32−1+i32−1−i32−1+i32
χ91111111111−1+i32−1−i3211−1+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−i321111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1−i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1−i32−1+i32−1−i32
χ101111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32111111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-11-111−1+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+i32−1−i32−1−i32-1-1111−i321−i321+i321+i3211−i321−i321+i321+i32-1-1-11−i321+i321−i321+i32
χ111111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1-1-1111−i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32111-1−1+i32−1+i32−1−i32−1−i32-1−1+i32−1+i32−1−i32−1−i321-1-11−i321+i321−i321+i32
χ121111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-11111−i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-11-11−i321−i321+i321+i32-11−i321−i321+i321+i32-111−1+i32−1−i32−1+i32−1−i32
χ1311111-1-1111111-111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1-1-1-11-1-1-111
χ1411111-1-1111111-111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1
χ1511111-1-111111-11111111-1-1-1-1111111-1-111111111-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1111111-111111-1-1-1-1-1-1-1111-1-1
χ1611111-1-111111-11111111-1-1-1-111-1-1111111111111-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1111111-1-1-111
χ1711111-1-1111−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-11111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-11111−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i3211+i321+i321−i321−i32-11-11+i321−i32−1−i32−1+i32
χ1811111-1-1111−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-111−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-11+i321+i321−i321−i321−1−i32−1−i32−1+i32−1+i321-11−1−i32−1+i321+i321−i32
χ1911111-1-1111−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-111-1-1111+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-11−1−i32−1−i32−1+i32−1+i32-11+i321+i321−i321−i32-1-11−1−i32−1+i321+i321−i32
χ2011111-1-1111−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-111-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-11111+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-111+i321+i321−i321−i32-1−1−i32−1−i32−1+i32−1+i3211-11+i321−i32−1−i32−1+i32
χ2111111-1-1111−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-11111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-11111−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-1−1+i32−1+i32−1−i32−1−i3211−i321−i321+i321+i32-11-11−i321+i32−1+i32−1−i32
χ2211111-1-1111−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-111−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-1-1-11−i321−i321+i321+i321−1+i32−1+i32−1−i32−1−i321-11−1+i32−1−i321−i321+i32
χ2311111-1-1111−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-111-1-1111−i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-11−1+i32−1+i32−1−i32−1−i32-11−i321−i321+i321+i32-1-11−1+i32−1−i321−i321+i32
χ2411111-1-1111−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-111-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-11111−i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-111−i321−i321+i321+i32-1−1+i32−1+i32−1−i32−1−i3211-11−i321+i32−1+i32−1−i32
χ252222-122-1-1-12222222222-1-1-1-1-1-1002200-1-1-1-1-1-1-1-1222222020-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-1-10000-100000000000
χ262222-122-1-1-122-2-222222211-1-111002200-1-1-1-1-1-1-1-122222-20-20-1-1-2-2-2-21111-1-1-1-1111100-110000100000000000
χ272222-122-1-1-1−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-10022001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i322020-1-1−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i3200-1-10000-100000000000
χ282222-122-1-1-1−1−i3−1+i3-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i311-1-1110022001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i32-20-20-1-11+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3200-110000100000000000
χ292222-122-1-1-1−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-10022001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i322020-1-1−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i3200-1-10000-100000000000
χ302222-122-1-1-1−1+i3−1−i3-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i311-1-1110022001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i32-20-20-1-11−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3200-110000100000000000
χ312222-1-2-2-1-1-1222-2222222-1-11111002200-1-1-1-1-1-1-1-1-2-2-2-2-2-2020-1-122-2-2-1-1-1-11111111100110000-100000000000
χ322222-1-2-2-1-1-122-222222221111-1-1002200-1-1-1-1-1-1-1-1-2-2-2-2-220-20-1-1-2-22211111111-1-1-1-1001-10000100000000000
χ332222-1-2-2-1-1-1−1−i3−1+i32-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-111110022001+i321−i321+i321−i321+i321−i321+i321−i321+i31+i31−i31−i3-2-2020-1-1−1−i3−1+i31+i31−i31+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3200110000-100000000000
χ342222-1-2-2-1-1-1−1−i3−1+i3-22−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31111-1-10022001+i321−i321+i321−i321+i321−i321+i321−i321+i31+i31−i31−i3-220-20-1-11+i31−i3−1−i3−1+i3−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32001-10000100000000000
χ352222-1-2-2-1-1-1−1+i3−1−i32-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-111110022001−i321+i321−i321+i321−i321+i321−i321+i321−i31−i31+i31+i3-2-2020-1-1−1+i3−1−i31−i31+i31−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i3200110000-100000000000
χ362222-1-2-2-1-1-1−1+i3−1−i3-22−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31111-1-10022001−i321+i321−i321+i321−i321+i321−i321+i321−i31−i31+i31+i3-220-20-1-11−i31+i3−1+i3−1−i3−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32001-10000100000000000
χ372-2-22200-2-222200-2-2-2-2220000002-22-20022-2-2-2-2220000000002-200000000000000002-2002-22-2000000000000
χ382-2-22200-2-222200-2-2-2-222000000-222-20022-2-2-2-2220000000002-20000000000000000-2200-22-22000000000000
χ392-2-22200-2-22−1−i3−1+i3001+i31−i31+i31−i3−1−i3−1+i30000002-22-200−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30000000002-200000000000000002-200−1−i31+i3−1+i31−i3000000000000
χ402-2-22200-2-22−1−i3−1+i3001+i31−i31+i31−i3−1−i3−1+i3000000-222-200−1−i3−1+i31+i31−i31+i31−i3−1−i3−1+i30000000002-20000000000000000-22001+i3−1−i31−i3−1+i3000000000000
χ412-2-22200-2-22−1+i3−1−i3001−i31+i31−i31+i3−1+i3−1−i30000002-22-200−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i30000000002-200000000000000002-200−1+i31−i3−1−i31+i3000000000000
χ422-2-22200-2-22−1+i3−1−i3001−i31+i31−i31+i3−1+i3−1−i3000000-222-200−1+i3−1−i31−i31+i31−i31+i3−1+i3−1−i30000000002-20000000000000000-22001−i3−1+i31+i3−1−i3000000000000
χ433333333333003300000033333333-1-133000000000000-1-13-13-1-10000000000000000-1-1-1-10000-10000-1-1-10000
χ4433333333330033000000333333-3-3-1-1-3-3000000000000-1-1-3-1-3-1-1000000000000000011-1-10000-100001110000
χ45333333333300-3-3000000-3-333-3-333-1-133000000000000-11-31-3-1-10000000000000000-1-1-11000010000-1110000
χ46333333333300-3-3000000-3-333-3-3-3-3-1-1-3-3000000000000-11313-1-1000000000000000011-110000100001-1-10000
χ4733333-3-3333003-300000033-3-3-3-333-1-1-3-300000000000011-3-13-1-10000000000000000-1-1110000-100001-110000
χ4833333-3-3333003-300000033-3-3-3-3-3-3-1-133000000000000113-1-3-1-1000000000000000011110000-10000-11-10000
χ4933333-3-333300-33000000-3-3-3-33333-1-1-3-30000000000001-131-3-1-10000000000000000-1-11-100001000011-10000
χ5033333-3-333300-33000000-3-3-3-333-3-3-1-1330000000000001-1-313-1-10000000000000000111-1000010000-1-110000
χ5144-4-4400-44-4-2-20022-2-22200000000004i−4i-2-2-2-222220000000000000000000000000000000000002i−2i2i−2i0000000
χ5244-4-4400-44-4-2-20022-2-2220000000000−4i4i-2-2-2-22222000000000000000000000000000000000000−2i2i−2i2i0000000
χ5344-4-4400-44-41+i31−i300−1−i3−1+i31+i31−i3−1−i3−1+i300000000004i−4i1+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i30000000000000000000000000000000000002ζ11−2ζ112ζ7−2ζ70000000
χ5444-4-4400-44-41+i31−i300−1−i3−1+i31+i31−i3−1−i3−1+i30000000000−4i4i1+i31−i31+i31−i3−1−i3−1+i3−1−i3−1+i3000000000000000000000000000000000000−2ζ112ζ11−2ζ72ζ70000000
χ5544-4-4400-44-41−i31+i300−1+i3−1−i31−i31+i3−1+i3−1−i300000000004i−4i1−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i30000000000000000000000000000000000002ζ7−2ζ72ζ11−2ζ110000000
χ5644-4-4400-44-41−i31+i300−1+i3−1−i31−i31+i3−1+i3−1−i30000000000−4i4i1−i31+i31−i31+i3−1+i3−1−i3−1+i3−1−i3000000000000000000000000000000000000−2ζ72ζ7−2ζ112ζ110000000
χ574-44-444i−4i4-4-4-2-200-2-22222004i−4i00000000-2-222-2-2222i−2i2i−2i0000000000000002i−2i2i−2i000000000000000000000000
χ584-44-444i−4i4-4-41+i31−i3001+i31−i3−1−i3−1+i3−1−i3−1+i3004i−4i000000001+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i32ζ11−2ζ112ζ7−2ζ70000000000000002ζ11−2ζ112ζ7−2ζ7000000000000000000000000
χ594-44-444i−4i4-4-41−i31+i3001−i31+i3−1+i3−1−i3−1+i3−1−i3004i−4i000000001−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i32ζ7−2ζ72ζ11−2ζ110000000000000002ζ7−2ζ72ζ11−2ζ11000000000000000000000000
χ604-44-44−4i4i4-4-4-2-200-2-2222200−4i4i00000000-2-222-2-222−2i2i−2i2i000000000000000−2i2i−2i2i000000000000000000000000
χ614-44-44−4i4i4-4-41+i31−i3001+i31−i3−1−i3−1+i3−1−i3−1+i300−4i4i000000001+i31−i3−1−i3−1+i31+i31−i3−1−i3−1+i3−2ζ112ζ11−2ζ72ζ7000000000000000−2ζ112ζ11−2ζ72ζ7000000000000000000000000
χ624-44-44−4i4i4-4-41−i31+i3001−i31+i3−1+i3−1−i3−1+i3−1−i300−4i4i000000001−i31+i3−1+i3−1−i31−i31+i3−1+i3−1−i3−2ζ72ζ7−2ζ112ζ11000000000000000−2ζ72ζ7−2ζ112ζ11000000000000000000000000
χ634-44-4-24i−4i-222-2-200-2-22222−2i32i3−2i2i23−2300000011-1-111-1-12i−2i2i−2i00000000000−i3i3−i3i3−ii−ii3−33−300000000000000000000
χ644-44-4-24i−4i-222-2-200-2-222222i3−2i3−2i2i−232300000011-1-111-1-12i−2i2i−2i00000000000i3−i3i3−i3−ii−ii−33−3300000000000000000000
χ654-44-4-24i−4i-2221+i31−i3001+i31−i3−1−i3−1+i3−1−i3−1+i3−2i32i3−2i2i23−23000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i322ζ11−2ζ112ζ7−2ζ700000000000−3+i323−i323+i32−3−i32−ζ11ζ11−ζ7ζ72ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000000000
χ664-44-4-24i−4i-2221+i31−i3001+i31−i3−1−i3−1+i3−1−i3−1+i32i3−2i3−2i2i−2323000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i322ζ11−2ζ112ζ7−2ζ7000000000003−i32−3+i32−3−i323+i32−ζ11ζ11−ζ7ζ7−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000000000
χ674-44-4-24i−4i-2221−i31+i3001−i31+i3−1+i3−1−i3−1+i3−1−i3−2i32i3−2i2i23−23000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i322ζ7−2ζ72ζ11−2ζ11000000000003+i32−3−i32−3+i323−i32−ζ7ζ7−ζ11ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000000000000000
χ684-44-4-24i−4i-2221−i31+i3001−i31+i3−1+i3−1−i3−1+i3−1−i32i3−2i3−2i2i−2323000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i322ζ7−2ζ72ζ11−2ζ1100000000000−3−i323+i323−i32−3+i32−ζ7ζ7−ζ11ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000000000000000
χ694-44-4-2−4i4i-222-2-200-2-22222−2i32i32i−2i−232300000011-1-111-1-1−2i2i−2i2i00000000000−i3i3−i3i3i−ii−i−33−3300000000000000000000
χ704-44-4-2−4i4i-222-2-200-2-222222i3−2i32i−2i23−2300000011-1-111-1-1−2i2i−2i2i00000000000i3−i3i3−i3i−ii−i3−33−300000000000000000000
χ714-44-4-2−4i4i-2221+i31−i3001+i31−i3−1−i3−1+i3−1−i3−1+i3−2i32i32i−2i−2323000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−2ζ112ζ11−2ζ72ζ700000000000−3+i323−i323+i32−3−i32ζ11−ζ11ζ7−ζ7−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ1100000000000000000000
χ724-44-4-2−4i4i-2221+i31−i3001+i31−i3−1−i3−1+i3−1−i3−1+i32i3−2i32i−2i23−23000000−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−2ζ112ζ11−2ζ72ζ7000000000003−i32−3+i32−3−i323+i32ζ11−ζ11ζ7−ζ72ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ1100000000000000000000
χ734-44-4-2−4i4i-2221−i31+i3001−i31+i3−1+i3−1−i3−1+i3−1−i3−2i32i32i−2i−2323000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−2ζ72ζ7−2ζ112ζ11000000000003+i32−3−i32−3+i323−i32ζ7−ζ7ζ11−ζ11ζ7+2ζ11−ζ7−2ζ11−2ζ7−ζ112ζ7+ζ1100000000000000000000
χ744-44-4-2−4i4i-2221−i31+i3001−i31+i3−1+i3−1−i3−1+i3−1−i32i3−2i32i−2i23−23000000−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−2ζ72ζ7−2ζ112ζ1100000000000−3−i323+i323−i32−3+i32ζ7−ζ7ζ11−ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ1100000000000000000000
χ754-4-44-20022-24400-4-4-4-444000000004-400-2-22222-2-2000000000-22000000000000000000000000000000000000
χ764-4-44-20022-2−2−2i3−2+2i3002+2i32−2i32+2i32−2i3−2−2i3−2+2i3000000004-4001+i31−i3−1−i3−1+i3−1−i3−1+i31+i31−i3000000000-22000000000000000000000000000000000000
χ774-4-44-20022-2−2+2i3−2−2i3002−2i32+2i32−2i32+2i3−2+2i3−2−2i3000000004-4001−i31+i3−1+i3−1−i3−1+i3−1−i31−i31+i3000000000-22000000000000000000000000000000000000
χ786666-366-3-3-30066000000-3-3-3-3-3-300-2-200000000000000-2-20-2011000000000000000000110000100000000000
χ796666-366-3-3-300-6-600000033-3-33300-2-200000000000000-22020110000000000000000001-10000-100000000000
χ806666-3-6-6-3-3-3006-6000000-3-3333300-2-200000000000000220-2011000000000000000000-1-10000100000000000
χ816666-3-6-6-3-3-300-660000003333-3-300-2-2000000000000002-202011000000000000000000-110000-100000000000
χ826-6-66600-6-6600000000000000006-6-220000000000000000000-220000000000000000-22000000000000000000
χ836-6-66600-6-660000000000000000-66-220000000000000000000-2200000000000000002-2000000000000000000
χ8488-8-8-4004-44-4-40044-4-4440000000000002222-2-2-2-200000000000000000000000000000000000000000000000
χ8588-8-8-4004-442+2i32−2i300−2−2i3−2+2i32+2i32−2i3−2−2i3−2+2i3000000000000−1−i3−1+i3−1−i3−1+i31+i31−i31+i31−i300000000000000000000000000000000000000000000000
χ8688-8-8-4004-442−2i32+2i300−2+2i3−2−2i32−2i32+2i3−2+2i3−2−2i3000000000000−1+i3−1−i3−1+i3−1−i31−i31+i31−i31+i300000000000000000000000000000000000000000000000
χ8712-12-1212-60066-6000000000000000000-4400000000000000000002-2000000000000000000000000000000000000

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