Finite Group Databasebeta

← Group #11923221

Character table — Group #11923221

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112222224444444444444444666666668888888888881212121212121212121212121616161616161616161616161616161624242424242424243636363648484848
order12223446663344666666121212121212444444443366666612121212244466121212121212121212121212121212121212121212121212121212121212224412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-11111111111111-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111-11-1-1-1-1-1
χ4111111111111-1-111111111-1-1-1-111-1-111-1-1111111111111-111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111
χ51111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111111111−1−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+i32−1−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+i32
χ61111111111−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211111111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321-1-1111111111−1−i32−1+i32−1−i32−1+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−i32-1-1-1-11+i321−i321+i321−i32
χ71111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-11111-1-11+i321−i321+i321−i321+i321+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−i32−1+i32−1+i321-11-11+i321−i321+i321−i32
χ81111111111−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1-111-1-111-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-1-11111-1-11+i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-11-11−1−i32−1+i32−1−i32−1+i32
χ91111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111111111−1+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−i32−1+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−i32
χ101111111111−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211111111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321-1-1111111111−1+i32−1−i32−1+i32−1−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+i32-1-1-1-11−i321+i321−i321+i32
χ111111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-11111-1-11−i321+i321−i321+i321−i321−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+i32−1−i32−1−i321-11-11−i321+i321−i321+i32
χ121111111111−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1-111-1-111-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-1-11111-1-11−i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i32-11-11−1+i32−1−i32−1+i32−1−i32
χ1311111-1-1111111-1111111-1-1-1-1111111-1-1-1-111111111-1-1-1-11-11-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1
χ1411111-1-1111111-1111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111
χ1511111-1-111111-11111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1611111-1-111111-11111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ1711111-1-1111−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-1111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-11-11111-1-1-1-11+i321−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+i321-1-11−1−i32−1+i321+i321−i32
χ1811111-1-1111−1−i32−1+i321-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-1-11111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i3211-1-11111-1-1-1-11+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-111-11+i321−i32−1−i32−1+i32
χ1911111-1-1111−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-11-1-111-1-111−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-11+i321−i32−1−i32−1+i32
χ2011111-1-1111−1−i32−1+i32-11−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-111-1-111-1-1-1-111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-111-1-111-1-111−1−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+i321+i321+i321−i321−i32-1-111−1−i32−1+i321+i321−i32
χ2111111-1-1111−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-1111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-11-11111-1-1-1-11−i321+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−i321-1-11−1+i32−1−i321−i321+i32
χ2211111-1-1111−1+i32−1−i321-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-1-11111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i3211-1-11111-1-1-1-11−i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-111-11−i321+i32−1+i32−1−i32
χ2311111-1-1111−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-11-1-111-1-111−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-11−i321+i32−1+i32−1−i32
χ2411111-1-1111−1+i32−1−i32-11−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-111-1-111-1-1-1-111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-111-1-111-1-111−1+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−i321−i321−i321+i321+i32-1-111−1+i32−1−i321−i321+i32
χ252222-122-1-1-12222222222-1-1-1-1-1-122002200-1-1-1-1-1-1-1-122222002-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ262222-122-1-1-122-2-2222222-1-1111122002200-1-1-1-1-1-1-1-12222-200-211-1-1-1-111-2-2-2-21111-1-1-1-111110000000000000000
χ272222-122-1-1-1−1−i3−1+i322−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-1-1-1-1-1220022001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i32002-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i31+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i320000000000000000
χ282222-122-1-1-1−1−i3−1+i3-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-1-11111220022001+i321−i321+i321−i321+i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i3-200-211-1-1-1-1111+i31−i31+i31−i3−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i320000000000000000
χ292222-122-1-1-1−1+i3−1−i322−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-1-1-1-1-1220022001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i32002-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i31−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i320000000000000000
χ302222-122-1-1-1−1+i3−1−i3-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-1-11111220022001−i321+i321−i321+i321−i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i3-200-211-1-1-1-1111−i31+i31−i31+i3−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i320000000000000000
χ312222-1-2-2-1-1-1222-22222221111-1-12200-2-200-1-1-1-1-1-1-1-1-2-2-2-2200-2-1-1-1-11111-2-222-1-1-1-1111111110000000000000000
χ322222-1-2-2-1-1-122-2222222211-1-1112200-2-200-1-1-1-1-1-1-1-1-2-2-2-2-200211-1-111-1-122-2-211111111-1-1-1-10000000000000000
χ332222-1-2-2-1-1-1−1−i3−1+i32-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i31111-1-12200-2-2001+i321−i321+i321−i321+i321−i321+i321−i321+i31+i31−i31−i3200-2-1-1-1-111111+i31−i3−1−i3−1+i31+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i320000000000000000
χ342222-1-2-2-1-1-1−1−i3−1+i3-22−1−i3−1+i3−1−i3−1+i3−1−i3−1+i311-1-1112200-2-2001+i321−i321+i321−i321+i321−i321+i321−i321+i31+i31−i31−i3-200211-1-111-1-1−1−i3−1+i31+i31−i3−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i320000000000000000
χ352222-1-2-2-1-1-1−1+i3−1−i32-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i31111-1-12200-2-2001−i321+i321−i321+i321−i321+i321−i321+i321−i31−i31+i31+i3200-2-1-1-1-111111−i31+i3−1+i3−1−i31−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i320000000000000000
χ362222-1-2-2-1-1-1−1+i3−1−i3-22−1+i3−1−i3−1+i3−1−i3−1+i3−1−i311-1-1112200-2-2001−i321+i321−i321+i321−i321+i321−i321+i321−i31−i31+i31+i3-200211-1-111-1-1−1+i3−1−i31−i31+i3−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i320000000000000000
χ3722-2-222i−2i-22-22200-2-2-2-2222i−2i00002-2002i−2i0022-2-222-2-22i−2i2i−2i0000002-22i−2i00000000002i−2i2i−2i00000000000000000000
χ3822-2-222i−2i-22-2−1−i3−1+i3001+i31−i31+i31−i3−1−i3−1+i32i−2i00002-2002i−2i00−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i32ζ11−2ζ112ζ7−2ζ70000002-22i−2i00000000002ζ11−2ζ112ζ7−2ζ700000000000000000000
χ3922-2-222i−2i-22-2−1+i3−1−i3001−i31+i31−i31+i3−1+i3−1−i32i−2i00002-2002i−2i00−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i32ζ7−2ζ72ζ11−2ζ110000002-22i−2i00000000002ζ7−2ζ72ζ11−2ζ1100000000000000000000
χ4022-2-22−2i2i-22-22200-2-2-2-222−2i2i00002-200−2i2i0022-2-222-2-2−2i2i−2i2i0000002-2−2i2i0000000000−2i2i−2i2i00000000000000000000
χ4122-2-22−2i2i-22-2−1−i3−1+i3001+i31−i31+i31−i3−1−i3−1+i3−2i2i00002-200−2i2i00−1−i3−1+i31+i31−i3−1−i3−1+i31+i31−i3−2ζ112ζ11−2ζ72ζ70000002-2−2i2i0000000000−2ζ112ζ11−2ζ72ζ700000000000000000000
χ4222-2-22−2i2i-22-2−1+i3−1−i3001−i31+i31−i31+i3−1+i3−1−i3−2i2i00002-200−2i2i00−1+i3−1−i31−i31+i3−1+i3−1−i31−i31+i3−2ζ72ζ7−2ζ112ζ110000002-2−2i2i0000000000−2ζ72ζ7−2ζ112ζ1100000000000000000000
χ4322-2-2-12i−2i1-112200-2-2-2-222−ii3−3−i3i32-2002i−2i00-1-111-1-1112i−2i2i−2i0000−i3i3-11−ii3−30000−i3i3−i3i3−ii−ii3−33−30000000000000000
χ4422-2-2-12i−2i1-112200-2-2-2-222−ii−33i3−i32-2002i−2i00-1-111-1-1112i−2i2i−2i0000i3−i3-11−ii−330000i3−i3i3−i3−ii−ii−33−330000000000000000
χ4522-2-2-12i−2i1-11−1−i3−1+i3001+i31−i31+i31−i3−1−i3−1+i3−ii3−3−i3i32-2002i−2i001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322ζ11−2ζ112ζ7−2ζ70000−i3i3-11−ii3−30000−3+i323−i323+i32−3−i32−ζ11ζ11−ζ7ζ72ζ7+ζ11−2ζ7−ζ11−ζ7−2ζ11ζ7+2ζ110000000000000000
χ4622-2-2-12i−2i1-11−1−i3−1+i3001+i31−i31+i31−i3−1−i3−1+i3−ii−33i3−i32-2002i−2i001+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i322ζ11−2ζ112ζ7−2ζ70000i3−i3-11−ii−3300003−i32−3+i32−3−i323+i32−ζ11ζ11−ζ7ζ7−2ζ7−ζ112ζ7+ζ11ζ7+2ζ11−ζ7−2ζ110000000000000000
χ4722-2-2-12i−2i1-11−1+i3−1−i3001−i31+i31−i31+i3−1+i3−1−i3−ii3−3−i3i32-2002i−2i001−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i322ζ7−2ζ72ζ11−2ζ110000−i3i3-11−ii3−300003+i32−3−i32−3+i323−i32−ζ7ζ7−ζ11ζ11−ζ7−2ζ11ζ7+2ζ112ζ7+ζ11−2ζ7−ζ110000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.