Finite Group Databasebeta

← Group #13177281

Character table — Group #13177281

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
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χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ511111111111-1-1-1-1111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111111-11-111-1-1-1-11-11-1
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χ131111-1-111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-1-1-1-111111111-1-1-1-11111-111-1-1-1-1-1111-1-11
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χ1144-44-44-44-2-2-2-200004-2-2-2-2-4222-422222-21114-4-22-22-22-22-221-11-11-1-2-22211-1-111-1-111-1-12-1-1-1000000000000000000000000−3i3i−3i3i−3i3i−3i3i−3i3i−3i3i0000−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
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χ1174-44-44-4-24-2-2-20000-24-2-2-22-4222-422221-211-224-4-22-22-221-1-221-11-111-1-1-2-22211-1-111-1-1-12-1-100000000000000000000−3i3i−3i3i0000−3i3i−3i3i3i−3i3i−3i−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ1184-44-44-4-2-24-240000-2-24-2422-4222-42-4-4-2-24-2-22-224-4-224-4-22-224-4-22-2-222-2-22244-4-4-2-22222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-44-44-4-2-24-2-20000-2-24-2-222-4222-422211-21-22-224-4-22-221-11-1-221-111-1-111-1-1-2-22211-1-1-1-12-1000000000000000000003i−3i3i−3i−3i3i−3i3i00003i−3i3i−3i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i00000000000000000000000000000000000000
χ1204-44-44-4-2-24-2-20000-2-24-2-222-4222-422211-21-22-224-4-22-221-11-1-221-111-1-111-1-1-2-22211-1-1-1-12-100000000000000000000−3i3i−3i3i3i−3i3i−3i0000−3i3i−3i3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i00000000000000000000000000000000000000
χ1214-44-44-4-2-2-2440000-2-2-244222-4222-4-4-4-2-2-24-22-22-224-44-4-22-22-224-4-2-222-2-222-2-22244-4-4222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224-44-44-4-2-2-24-20000-2-2-24-2222-4222-422111-2-22-22-224-4-221-11-11-1-2211-1-111-1-111-1-1-2-222-1-1-12000000000000000000003i−3i3i−3i3i−3i3i−3i−3i3i−3i3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1234-44-44-4-2-2-24-20000-2-2-24-2222-4222-422111-2-22-22-224-4-221-11-11-1-2211-1-111-1-111-1-1-2-222-1-1-1200000000000000000000−3i3i−3i3i−3i3i−3i3i3i−3i3i−3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1244-44-4-444444-200004444-2-4-4-4-4-4-4-4-422-2-2-2-2-44-44-44-442-2-22-22-22-2222-2-222-2-222-2-222-2-22222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-44-4-444-2-2-2400004-2-2-24-4222-4222-4-44-2-2-2-442-22-22-2-444-4-22-22-22-4-44422-2-222-2-222-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-44-4-444-2-2-2-200004-2-2-2-2-4222-422222-2111-442-22-22-22-2-221-11-11-122-2-2-1-111-1-111-1-1112-1-1-10000000000000000000000003i−3i3i−3i3i−3i3i−3i3i−3i3i−3i0000−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000
χ1274-44-4-444-2-2-2-200004-2-2-2-2-4222-422222-2111-442-22-22-22-2-221-11-11-122-2-2-1-111-1-111-1-1112-1-1-1000000000000000000000000−3i3i−3i3i−3i3i−3i3i−3i3i−3i3i00003i−3i−3i3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000
χ1284-44-4-44-24-2-240000-24-2-242-4222-422-4-4-24-2-22-2-442-22-2-44-224-4-22-2222-2-2-4-44422-2-222-2-22-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-44-4-44-24-2-2-20000-24-2-2-22-4222-422221-2112-2-442-22-22-21-1-221-11-1-1-11122-2-2-1-111-1-111-12-1-1000000000000000000003i−3i3i−3i00003i−3i3i−3i−3i3i−3i3i−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000
χ1304-44-4-44-24-2-2-20000-24-2-2-22-4222-422221-2112-2-442-22-22-21-1-221-11-1-1-11122-2-2-1-111-1-111-12-1-100000000000000000000−3i3i−3i3i0000−3i3i−3i3i3i−3i3i−3i3i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
χ1314-44-4-44-2-24-240000-2-24-2422-4222-42-4-4-2-24-22-22-2-442-2-44-22-224-4-2222-2-222-2-2-4-44422-2-222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-4-44-2-24-2-20000-2-24-2-222-4222-422211-212-22-2-442-22-21-11-1-221-1-1-111-1-11122-2-2-1-111-1-12-1000000000000000000003i−3i3i−3i−3i3i−3i3i00003i−3i3i−3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i00000000000000000000000000000000000000
χ1334-44-4-44-2-24-2-20000-2-24-2-222-4222-422211-212-22-2-442-22-21-11-1-221-1-1-111-1-11122-2-2-1-111-1-12-100000000000000000000−3i3i−3i3i3i−3i3i−3i0000−3i3i−3i3i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i00000000000000000000000000000000000000
χ1344-44-4-44-2-2-2440000-2-2-244222-4222-4-4-4-2-2-242-22-22-2-44-44-22-22-224-422-2-222-2-222-2-2-4-444222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-44-4-44-2-2-24-20000-2-2-24-2222-4222-422111-22-22-22-2-442-21-11-11-1-22-1-111-1-111-1-11122-2-2-1-1-12000000000000000000003i−3i3i−3i3i−3i3i−3i−3i3i−3i3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1364-44-4-44-2-2-24-20000-2-2-24-2222-4222-422111-22-22-22-2-442-21-11-11-1-22-1-111-1-111-1-11122-2-2-1-1-1200000000000000000000−3i3i−3i3i−3i3i−3i3i3i−3i3i−3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1374-4-44004444-2004i−4i-4-4-4-424444-4-4-4-4-22-2-2-2-200000000002-22-22-22-200000000000000002222000000004i−4i4i−4i4i−4i4i−4i00−2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ1384-4-44004444-200−4i4i-4-4-4-424444-4-4-4-4-22-2-2-2-200000000002-22-22-22-20000000000000000222200000000−4i4i−4i4i−4i4i−4i4i002i−2i00000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ1394-4-44004-2-2-24004i−4i-4222-44-2-2-2-42224-44-2-2-20000000000-442-22-22-20000000000000000-4222000000004i−4i−2i2i−2i2i−2i2i004i−4i00000000000000004i4i−4i−4i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ1404-4-44004-2-2-2400−4i4i-4222-44-2-2-2-42224-44-2-2-20000000000-442-22-22-20000000000000000-422200000000−4i4i2i−2i2i−2i2i−2i00−4i4i0000000000000000−4i−4i4i4i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ1414-4-44004-2-2-2-2004i−4i-422224-2-2-2-4222-22-211100000000002-2-11-11-1100003-3-333-3-333-3-332-1-1-1000000004i−4i−2i2i−2i2i−2i2i00−2i2i00003i−3i−3i3i3i−3i−3i3i3i−3i−3i3i−2i−2i2i2iii−i−iii−i−iii−i−i00000000000000000000000000000000000000
χ1424-4-44004-2-2-2-2004i−4i-422224-2-2-2-4222-22-211100000000002-2-11-11-110000-333-3-333-3-333-32-1-1-1000000004i−4i−2i2i−2i2i−2i2i00−2i2i0000−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−2i−2i2i2iii−i−iii−i−iii−i−i00000000000000000000000000000000000000
χ1434-4-44004-2-2-2-200−4i4i-422224-2-2-2-4222-22-211100000000002-2-11-11-1100003-3-333-3-333-3-332-1-1-100000000−4i4i2i−2i2i−2i2i−2i002i−2i0000−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i2i2i−2i−2i−i−iii−i−iii−i−iii00000000000000000000000000000000000000
χ1444-4-44004-2-2-2-200−4i4i-422224-2-2-2-4222-22-211100000000002-2-11-11-110000-333-3-333-3-333-32-1-1-100000000−4i4i2i−2i2i−2i2i−2i002i−2i00003i−3i−3i3i3i−3i−3i3i3i−3i−3i3i2i2i−2i−2i−i−iii−i−iii−i−iii00000000000000000000000000000000000000
χ1454-4-4400-24-2-24004i−4i2-422-4-24-2-22-4224-4-24-2-200000000002-2-442-22-200000000000000002-42200000000−2i2i4i−4i−2i2i−2i2i004i−4i0000000000000000−2i−2i2i2i4i4i−4i−4i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000
χ1464-4-4400-24-2-2400−4i4i2-422-4-24-2-22-4224-4-24-2-200000000002-2-442-22-200000000000000002-422000000002i−2i−4i4i2i−2i2i−2i00−4i4i00000000000000002i2i−2i−2i−4i−4i4i4i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000
χ1474-4-4400-24-2-2-2004i−4i2-4222-24-2-22-422-221-2110000000000-112-2-11-113-3-3300003-3-33-333-3-12-1-100000000−2i2i4i−4i−2i2i−2i2i00−2i2i3i−3i−3i3i00003i−3i−3i3i−3i3i3i−3iii−i−i−2i−2i2i2iii−i−iii−i−i00000000000000000000000000000000000000
χ1484-4-4400-24-2-2-2004i−4i2-4222-24-2-22-422-221-2110000000000-112-2-11-11-333-30000-333-33-3-33-12-1-100000000−2i2i4i−4i−2i2i−2i2i00−2i2i−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3iii−i−i−2i−2i2i2iii−i−iii−i−i00000000000000000000000000000000000000
χ1494-4-4400-24-2-2-200−4i4i2-4222-24-2-22-422-221-2110000000000-112-2-11-113-3-3300003-3-33-333-3-12-1-1000000002i−2i−4i4i2i−2i2i−2i002i−2i−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i−i−iii2i2i−2i−2i−i−iii−i−iii00000000000000000000000000000000000000
χ1504-4-4400-24-2-2-200−4i4i2-4222-24-2-22-422-221-2110000000000-112-2-11-11-333-30000-333-33-3-33-12-1-1000000002i−2i−4i4i2i−2i2i−2i002i−2i3i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i−i−iii2i2i−2i−2i−i−iii−i−iii00000000000000000000000000000000000000
χ1514-4-4400-2-24-24004i−4i22-42-4-2-24-222-424-4-2-24-200000000002-22-2-442-2000000000000000022-4200000000−2i2i−2i2i4i−4i−2i2i004i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i−2i−2i2i2i00000000000000000000000000000000000000
χ1524-4-4400-2-24-2400−4i4i22-42-4-2-24-222-424-4-2-24-200000000002-22-2-442-2000000000000000022-42000000002i−2i2i−2i−4i4i2i−2i00−4i4i00000000000000002i2i−2i−2i2i2i−2i−2i−4i−4i4i4i2i2i−2i−2i00000000000000000000000000000000000000
χ1534-4-4400-2-24-2-2004i−4i22-422-2-24-222-42-2211-210000000000-11-112-2-113-3-33-333-300003-3-33-1-12-100000000−2i2i−2i2i4i−4i−2i2i00−2i2i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3iii−i−iii−i−i−2i−2i2i2iii−i−i00000000000000000000000000000000000000
χ1544-4-4400-2-24-2-2004i−4i22-422-2-24-222-42-2211-210000000000-11-112-2-11-333-33-3-330000-333-3-1-12-100000000−2i2i−2i2i4i−4i−2i2i00−2i2i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3iii−i−iii−i−i−2i−2i2i2iii−i−i00000000000000000000000000000000000000
χ1554-4-4400-2-24-2-200−4i4i22-422-2-24-222-42-2211-210000000000-11-112-2-113-3-33-333-300003-3-33-1-12-1000000002i−2i2i−2i−4i4i2i−2i002i−2i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i−i−iii−i−iii2i2i−2i−2i−i−iii00000000000000000000000000000000000000
χ1564-4-4400-2-24-2-200−4i4i22-422-2-24-222-42-2211-210000000000-11-112-2-11-333-33-3-330000-333-3-1-12-1000000002i−2i2i−2i−4i4i2i−2i002i−2i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i−i−iii−i−iii2i2i−2i−2i−i−iii00000000000000000000000000000000000000
χ1574-4-4400-2-2-244004i−4i222-4-4-2-2-24222-44-4-2-2-2400000000002-22-22-2-440000000000000000222-400000000−2i2i−2i2i−2i2i4i−4i004i−4i0000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i4i4i−4i−4i00000000000000000000000000000000000000
χ1584-4-4400-2-2-24400−4i4i222-4-4-2-2-24222-44-4-2-2-2400000000002-22-22-2-440000000000000000222-4000000002i−2i2i−2i2i−2i−4i4i00−4i4i00000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i−4i−4i4i4i00000000000000000000000000000000000000
χ1594-4-4400-2-2-24-2004i−4i222-42-2-2-24222-4-22111-20000000000-11-11-112-23-3-333-3-33-333-30000-1-1-1200000000−2i2i−2i2i−2i2i4i−4i00−2i2i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000ii−i−iii−i−iii−i−i−2i−2i2i2i00000000000000000000000000000000000000
χ1604-4-4400-2-2-24-2004i−4i222-42-2-2-24222-4-22111-20000000000-11-11-112-2-333-3-333-33-3-330000-1-1-1200000000−2i2i−2i2i−2i2i4i−4i00−2i2i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000ii−i−iii−i−iii−i−i−2i−2i2i2i00000000000000000000000000000000000000
χ1614-4-4400-2-2-24-200−4i4i222-42-2-2-24222-4-22111-20000000000-11-11-112-23-3-333-3-33-333-30000-1-1-12000000002i−2i2i−2i2i−2i−4i4i002i−2i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000−i−iii−i−iii−i−iii2i2i−2i−2i00000000000000000000000000000000000000
χ1624-4-4400-2-2-24-200−4i4i222-42-2-2-24222-4-22111-20000000000-11-11-112-2-333-3-333-33-3-330000-1-1-12000000002i−2i2i−2i2i−2i−4i4i002i−2i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000−i−iii−i−iii−i−iii2i2i−2i−2i00000000000000000000000000000000000000

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