Finite Group Databasebeta

← Group #13160059

Character table — Group #13160059

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153
size1111222222222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444412122424242424242424242424242424242424363654547272727272108108108
order122233333446666666666666663333666666666666881212121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424244426666666612121212121212124422412121212488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111
χ5111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111111-1-1-1111-1-1
χ6111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-111
χ7111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-111
χ8111111111111111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111111-1-11-1-1
χ9222222222-2-2222222222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000002200000-200
χ10222222222-2-2222222222222222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000-2-200000200
χ11222222-1-1-122222-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ12222222-1-1-122222-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1222-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111111-2-2111111000000000000
χ13222222-1-1-122222-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111111122-2-2-211111122-1-1-1-1-1-1000000000000
χ14222222-1-1-122222-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-1-2-22-1-1-1222-1-1-1-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111-2-2222-1-1-1-1-1-1-2-2111111000000000000
χ1522222-12-1-1222-1-122-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ1622222-12-1-1222-1-122-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-122-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-211-2-2111111-2-21111000000000000
χ1722222-12-1-1222-1-122-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111122-211-2-21111-1-122-1-1-1-1000000000000
χ1822222-12-1-1222-1-122-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-12-1-1-2-2-12-1-12-1-122-1-1-1-1-12-1-12-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-2-22-1-122-1-1-1-111-2-21111000000000000
χ1922222-1-12-1222-1-1-1-122-1-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ2022222-1-12-1222-1-1-1-122-1-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-122-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111-2-2111111-2-211000000000000
χ2122222-1-12-1222-1-1-1-122-1-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111122-21111-2-211-1-1-1-122-1-1000000000000
χ2222222-1-12-1222-1-1-1-122-1-1-1-12-122-1-12-1-1-1-1-122-1-1-1-12-1-2-2-1-12-12-1-1-1-122-1-1-1-12-12-1-1-1-122-1-1-2-2-2-2111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111-2-22-1-1-1-122-1-11111-2-211000000000000
χ2322222-1-1-12222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ2422222-1-1-12222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-1222-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2111111-2-2111111-2-2000000000000
χ2522222-1-1-12222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-2111111111111111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-222-2111111-2-2-1-1-1-1-1-122000000000000
χ2622222-1-1-12222-1-1-1-1-1-122-1-1-1222-1-1-12-1-1-1-1-1-122-1-1-12-2-2-1-1-122-1-1-1-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-2111111111111111111111111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-22-1-1-1-1-1-122111111-2-2000000000000
χ272222-1222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000000022002-1-1-1-1000
χ282222-1222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000000-2-200-21111000
χ292222-1222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111-2-2-2-21111111100000000000000000002200-211-1-1000
χ302222-1222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111-2-2-2-2111111110000000000000000000-2-2002-1-111000
χ312-22-22222200-22-22-22-22-2-2-2-2-22-222222-22-22-22-2-2-2-2-2−i2i200000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i20000000000000000000002-2000000−i2i2
χ322-22-22222200-22-22-22-22-2-2-2-2-22-222222-22-22-22-2-2-2-2-2−i2i200000000000000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2000000000000000000000-22000000i2−i2
χ332-22-22222200-22-22-22-22-2-2-2-2-22-222222-22-22-22-2-2-2-2-2i2−i200000000000000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i20000000000000000000002-2000000i2−i2
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χ352-2-22222222-2-2-2-2-2-2-2-2-2-22222-222222-2-2-2-2-2-2-2-2222200-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222200000000000000000000000000000000000000000000000000002-20000000002-22-22-22-2000000000000
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χ462-2-222-12-1-12-2-211-2-21111-12-1-1-22-12-1-111-2-21111-12-1-1001-211-211-2-21111-12-1-12-1-122-1-1-1-10000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-220−i3i300−i3i3i3−i31-1-221-11-1000000000000
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χ1324-44-4-2-2-2-24002-22-22-224-4222-4-22111-21-11-11-1-22-1-1-122i2−2i200000−3i3i−3i3i3i−3i00000003i−3i3i−3i−3i3i00−i2−i2i2i2−i2−i2i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i2i2i2−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ232ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23−i2−i2i2i22ζ5−ζ7+2ζ13−ζ23−ζ5+2ζ7−ζ13+2ζ23−ζ5+2ζ7−ζ13+2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23ζ5−2ζ7+ζ13−2ζ23ζ5−2ζ7+ζ13−2ζ23−2ζ5+ζ7−2ζ13+ζ232i22i2−2i2−2i2−i2−i2−i2−i2i2i2i2i20000000000000000000000000000000
χ1334-4-4444-2-2-2-44-4-4-42222224-2-2-2-444-2-2-2-4-42222224-2-2-2004-2-2-2444-2-2-2-2-2-2-4222-4-4-422222200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-444-24-2-2-44-422-4-42222-24-2-2-44-24-2-222-4-42222-24-2-200-24-2-24-2-244-2-2-2-22-422-422-4-4222200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-444-2-24-2-44-42222-4-422-2-24-2-44-2-24-22222-4-422-2-24-200-2-24-24-2-2-2-244-2-222-42-42222-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-444-2-2-24-44-4222222-4-4-2-2-24-44-2-2-24222222-4-4-2-2-2400-2-2-244-2-2-2-2-2-244222-4-4222222-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-244444-42-4-4-4-4-4-4-4-444442-2-2-2-2-222222222-2-2-2-200-4-4-4-42222222224444-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-24-2-2-24-42-4-42222224-2-2-22-2-211122-1-1-1-1-1-1-211100-4222222-1-1-1-1-1-14-2-2-2-2-2-21111110000000000000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000
χ1394-4-44-24-2-2-24-42-4-42222224-2-2-22-2-211122-1-1-1-1-1-1-211100-4222222-1-1-1-1-1-14-2-2-2-2-2-211111100000000000000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000
χ1404-4-44-24-2-2-2-442-4-42222224-2-2-22-2-211122-1-1-1-1-1-1-2111004-2-2-2-2-2-2111111-4222222-1-1-1-1-1-123−2323−23000023−2323−2323−2323−230000−33−33−33−330000−33−33−33−330000−33−33−33−330000000000000000000000000000000
χ1414-4-44-24-2-2-2-442-4-42222224-2-2-22-2-211122-1-1-1-1-1-1-2111004-2-2-2-2-2-2111111-4222222-1-1-1-1-1-1−2323−23230000−2323−2323−2323−232300003−33−33−33−300003−33−33−33−300003−33−33−33−30000000000000000000000000000000
χ1424-4-44-2-24-2-24-4222-4-42222-24-2-22-21-211-1-122-1-1-1-11-211002-4222-1-122-1-1-1-1-24-2-2-211-2-211110000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000
χ1434-4-44-2-24-2-24-4222-4-42222-24-2-22-21-211-1-122-1-1-1-11-211002-4222-1-122-1-1-1-1-24-2-2-211-2-2111100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000
χ1444-4-44-2-24-2-2-44222-4-42222-24-2-22-21-211-1-122-1-1-1-11-21100-24-2-2-211-2-211112-4222-1-122-1-1-1-123−2323−230000−33−33−33−33000023−2323−2323−2323−230000−33−33−33−330000−33−33−33−330000000000000000000000000000000
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χ1464-4-44-2-2-24-24-422222-4-422-2-24-22-211-21-1-1-1-122-1-111-210022-422-1-1-1-122-1-1-2-24-2-21111-2-2110000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000
χ1474-4-44-2-2-24-24-422222-4-422-2-24-22-211-21-1-1-1-122-1-111-210022-422-1-1-1-122-1-1-2-24-2-21111-2-21100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000
χ1484-4-44-2-2-24-2-4422222-4-422-2-24-22-211-21-1-1-1-122-1-111-2100-2-24-2-21111-2-21122-422-1-1-1-122-1-123−2323−230000−33−33−33−330000−33−33−33−33000023−2323−2323−2323−230000−33−33−33−330000000000000000000000000000000
χ1494-4-44-2-2-24-2-4422222-4-422-2-24-22-211-21-1-1-1-122-1-111-2100-2-24-2-21111-2-21122-422-1-1-1-122-1-1−2323−232300003−33−33−33−300003−33−33−33−30000−2323−2323−2323−232300003−33−33−33−30000000000000000000000000000000
χ1504-4-44-2-2-2-244-42222222-4-4-2-2-242-2111-2-1-1-1-1-1-122111-200222-42-1-1-1-1-1-122-2-2-24-2111111-2-20000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000000000000
χ1514-4-44-2-2-2-244-42222222-4-4-2-2-242-2111-2-1-1-1-1-1-122111-200222-42-1-1-1-1-1-122-2-2-24-2111111-2-200002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000000000000
χ1524-4-44-2-2-2-24-442222222-4-4-2-2-242-2111-2-1-1-1-1-1-122111-200-2-2-24-2111111-2-2222-42-1-1-1-1-1-12223−2323−230000−33−33−33−330000−33−33−33−330000−33−33−33−33000023−2323−2323−2323−230000000000000000000000000000000
χ1534-4-44-2-2-2-24-442222222-4-4-2-2-242-2111-2-1-1-1-1-1-122111-200-2-2-24-2111111-2-2222-42-1-1-1-1-1-122−2323−232300003−33−33−33−300003−33−33−33−300003−33−33−33−30000−2323−2323−2323−23230000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.