Finite Group Databasebeta

← Group #11923254

Character table — Group #11923254

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1111222222444444444444444466666688888888888812121212121212161616161616161616161616161616161818242424242424242424242436363648484848
order12223446662233666666666612124444443366666612121212224441212666666666666121212122212121212121212121212124446666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-1111111111111-1-1111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+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−i3211111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32111−1+i32−1+i32−1−i32−1−i32
χ4111111111111−1+i32−1−i321111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111−i321−i321−i321−i321+i321+i321+i321+i32-1-1-11−i321−i321+i321+i32
χ5111111111111−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−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+i3211111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32111−1−i32−1−i32−1+i32−1+i32
χ6111111111111−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111+i321+i321+i321+i321−i321−i321−i321−i32-1-1-11+i321+i321−i321−i32
χ71111111111-1-111-1-1-1-111111111111111111111111111-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1111111111-1-1-1-1-1-1
χ81111111111-1-111-1-1-1-111111111-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-1-1111−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32111-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321-1-11−i321−i321+i321+i32
χ101111111111-1-1−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1111−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-11-1-11−i321−i321−i321−i321+i321+i321+i321+i32-111−1+i32−1+i32−1−i32−1−i32
χ111111111111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-1-1111+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32111-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-1-11+i321+i321−i321−i32
χ121111111111-1-1−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1111+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-11-1-11+i321+i321+i321+i321−i321−i321−i321−i32-111−1−i32−1−i32−1+i32−1+i32
χ1311111-1-11111-11111-1-1111111-1-11111-1-111111111-1-1-1-11-1-11-1111-11-111-1-111-1-1-1-1-1-1-1-1-11-111-1-111-1-111-11-11-1
χ1411111-1-11111-11111-1-1111111-1-1-1-1111111111111-1-1-1-1-11-11-1111-11-111-1-111-1-1-1-1-1-111-11-1-1-111-1-111-1-11-11-11
χ1511111-1-11111-1−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-11-111−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i32-1-1-11-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1−1+i321−i32−1−i321+i32
χ1611111-1-11111-1−1+i32−1−i3211-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-11-111−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−i321−i321+i321+i3211-11-11−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-111−i32−1+i321+i32−1−i32
χ1711111-1-11111-1−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-11-111−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i32-1-1-11-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1−1−i321+i32−1+i321−i32
χ1811111-1-11111-1−1−i32−1+i3211-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-11-111−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321+i321+i321−i321−i3211-11-11+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-111+i32−1−i321−i32−1+i32
χ1911111-1-1111-1111-1-111111111-1-11111-1-111111111-1-1-1-1-11-1-1111-11-11-1-111-1-111-1-1-1-1-1-1-1-1111-1-111-1-11-11-11-11
χ2011111-1-1111-1111-1-111111111-1-1-1-1111111111111-1-1-1-11-1-1-1111-11-11-1-111-1-111-1-1-1-111-1-11-1-111-1-111-11-11-11-1
χ2111111-1-1111-11−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1-11111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-111−i32−1+i321+i32−1−i32
χ2211111-1-1111-11−1+i32−1−i32-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1-11111−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−i321+i321+i3211-1-111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-1−1+i321−i32−1−i321+i32
χ2311111-1-1111-11−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1-11111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-111+i32−1−i321−i32−1+i32
χ2411111-1-1111-11−1−i32−1+i32-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1-11111+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+i321−i321−i3211-1-111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-1−1−i321+i32−1+i321−i32
χ252222-122-1-1-12222-1-1-1-1222222-1-1002200-1-1-1-1-1-1-1-1222200222-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-1-1-1000000000000000
χ262222-122-1-1-122−1+i3−1−i3-1-1-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-10022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i300222-1-1−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i3200-1-1-1000000000000000
χ272222-122-1-1-122−1−i3−1+i3-1-1-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-10022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i300222-1-1−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i3200-1-1-1000000000000000
χ282222-122-1-1-1-2-2221111222222-1-1002200-1-1-1-1-1-1-1-12222002-2-2-1-1-2-2-2-211111111-1-1-1-100-111000000000000000
χ292222-122-1-1-1-2-2−1+i3−1−i31111−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-10022001−i321+i321−i321−i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i3002-2-2-1-11−i31−i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i3200-111000000000000000
χ302222-122-1-1-1-2-2−1−i3−1+i31111−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-10022001+i321−i321+i321+i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i3002-2-2-1-11+i31+i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i3200-111000000000000000
χ312222-1-2-2-1-1-12-222-1-11122222211002200-1-1-1-1-1-1-1-1-2-2-2-200-22-2-1-12-22-2-1-111-1-1111111001-11000000000000000
χ322222-1-2-2-1-1-12-2−1+i3−1−i3-1-111−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3110022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i300-22-2-1-1−1+i31−i3−1−i31+i31−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32001-11000000000000000
χ332222-1-2-2-1-1-12-2−1−i3−1+i3-1-111−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3110022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i300-22-2-1-1−1−i31+i3−1+i31−i31+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32001-11000000000000000
χ342222-1-2-2-1-1-1-222211-1-122222211002200-1-1-1-1-1-1-1-1-2-2-2-200-2-22-1-1-22-2211-1-111-1-111110011-1000000000000000
χ352222-1-2-2-1-1-1-22−1+i3−1−i311-1-1−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3110022001−i321+i321−i321−i321+i321+i321−i321+i321−i31−i31+i31+i300-2-22-1-11−i3−1+i31+i3−1−i3−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1−i32−1−i320011-1000000000000000
χ362222-1-2-2-1-1-1-22−1−i3−1+i311-1-1−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3110022001+i321−i321+i321+i321−i321−i321+i321−i321+i31+i31−i31−i300-2-22-1-11+i3−1−i31−i3−1+i3−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1+i32−1+i320011-1000000000000000
χ372-2-22200-2-2200220000-2-22-22-200002-22-2222-22-2-2-20000000002-200000000000000002-2000002-2002-20000000
χ382-2-22200-2-2200220000-2-22-22-200002-2-22222-22-2-2-20000000002-20000000000000000-2200000-2200-220000000
χ392-2-22200-2-2200−1+i3−1−i300001−i31+i3−1+i31−i3−1−i31+i300002-22-2−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i30000000002-200000000000000002-200000−1+i31−i300−1−i31+i30000000
χ402-2-22200-2-2200−1+i3−1−i300001−i31+i3−1+i31−i3−1−i31+i300002-2-22−1+i3−1−i3−1+i31−i3−1−i31+i31−i31+i30000000002-20000000000000000-22000001−i3−1+i3001+i3−1−i30000000
χ412-2-22200-2-2200−1−i3−1+i300001+i31−i3−1−i31+i3−1+i31−i300002-22-2−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i30000000002-200000000000000002-200000−1−i31+i300−1+i31−i30000000
χ422-2-22200-2-2200−1−i3−1+i300001+i31−i3−1−i31+i3−1+i31−i300002-2-22−1−i3−1+i3−1−i31+i3−1+i31−i31+i31−i30000000002-20000000000000000-22000001+i3−1−i3001−i3−1+i30000000
χ433333333333330033330000003333-1-13300000000000033-1-1-1-1-10000000000000000-1-1-1-1-100000000-1-1-10000
χ4433333333333300333300000033-3-3-1-1-3-3000000000000-3-3-1-1-1-1-1000000000000000011-1-1-1000000001110000
χ453333333333-3-300-3-3-3-30000003333-1-133000000000000-3-3-111-1-10000000000000000-1-1-11100000000-1110000
χ463333333333-3-300-3-3-3-300000033-3-3-1-1-3-300000000000033-111-1-1000000000000000011-111000000001-1-10000
χ4733333-3-33333-30033-3-3000000-3-333-1-1-3-30000000000003-31-11-1-10000000000000000111-1100000000-1-110000
χ4833333-3-33333-30033-3-3000000-3-3-3-3-1-133000000000000-331-11-1-10000000000000000-1-11-110000000011-10000
χ4933333-3-3333-3300-3-333000000-3-333-1-1-3-3000000000000-3311-1-1-100000000000000001111-100000000-11-10000
χ5033333-3-3333-3300-3-333000000-3-3-3-3-1-1330000000000003-311-1-1-10000000000000000-1-111-1000000001-110000
χ5144-4-4400-44-400-2-20000222-22-2004-40000-2-22-22-222000000000000000000000000000000002-2002-2000000000
χ5244-4-4400-44-400-2-20000222-22-200-440000-2-22-22-22200000000000000000000000000000000-2200-22000000000
χ5344-4-4400-44-4001−i31+i30000−1+i3−1−i3−1+i31−i3−1−i31+i3004-400001−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i300000000000000000000000000000000−1+i31−i300−1−i31+i3000000000
χ5444-4-4400-44-4001−i31+i30000−1+i3−1−i3−1+i31−i3−1−i31+i300-4400001−i31+i3−1+i31−i3−1−i31+i3−1+i3−1−i3000000000000000000000000000000001−i3−1+i3001+i3−1−i3000000000
χ5544-4-4400-44-4001+i31−i30000−1−i3−1+i3−1−i31+i3−1+i31−i3004-400001+i31−i3−1−i31+i3−1+i31−i3−1−i3−1+i300000000000000000000000000000000−1−i31+i300−1+i31−i3000000000
χ5644-4-4400-44-4001+i31−i30000−1−i3−1+i3−1−i31+i3−1+i31−i300-4400001+i31−i3−1−i31+i3−1+i31−i3−1−i3−1+i3000000000000000000000000000000001+i3−1−i3001−i3−1+i3000000000
χ574-44-444-44-4-400-2-20000-2-222224-4000000-2-22222-2-22-22-200000000000000000002-22-200000000000000000000
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χ8712-12-1212-60066-6000000000000000000-4400000000000000000002-2000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).