Finite Group Databasebeta

← Group #13169337

Character table — Group #13169337

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666888888888888888812121212121212121212121212121212121212121818181818181818181818182424242424242424242424242424242436363636363636367272108108
order1222333666666666333466666666612124444366612121212121212121212121244441212121212121212121212121212121244444444121212121212121212121212121212121212121244121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1111111111111-1-1-1-111-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111-11111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-11-11111-1-111-1-111111-111-1-1-1-11-1-1-1
χ4111111111111111111111111111111111-1-111111111111111111-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-11-1-111-1-1-1111
χ51111111111111111111111111111111-1-1111111111111111111-1111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1111-1-111-1-1111111-11-1-111-1-1-11-1-1
χ61111111111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-11-111-1-1-1-11-111
χ71111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-1111-1-111-111-1
χ101111111111111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111-1-1-111111-1-11
χ111111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-1-111-1-1-1-11111111111-111-111-1-1-1-11111-1-1-1-11111-1-1-1-1-11
χ121111111111111111111-1111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-11-1111-1-1-1-111-1-11111-1-1-1-1-1-1111-1
χ131111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111-11-1-1-11111-1-111-1-111-1-1-1-1-1-111-11
χ141111111111111111111-1111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-111-1-111111111111-1-11-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ151111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111-1-1-1-1-1111111-1-11-1-1-111111-11-1
χ161111111111111111111-1111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-11-1-1-1-11111-1-111-1111-1-111-11-11
χ17222222-122-1-12222-12-1-122-1-12-1-1-1-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-122002222-1-1-1-1-1-1-1-1000022000022-1-1-1-12200-1-1-1-1-1-1-1-10000000000-1-10000
χ18222222-122-1-12222-12-1-122-1-12-1-1-1-12-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-12-20022-2-2-1-111-1-1110000-2-20000-2-211112-200-1-111-1-1110000000000110000
χ19222222-122-1-12222-12-1-122-1-12-1-1-1-12-1-1-2-222-1-1-1-12222-1-1-1-1-1-1-1-1-2200-2-22211-1-111-1-10000-2-20000-2-21111-220011-1-111-1-10000000000110000
χ20222222-122-1-12222-12-1-122-1-12-1-1-1-12-1-1-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2-2-211111111000022000022-1-1-1-1-2-200111111110000000000-1-10000
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χ22222222-122-1-12222-12-1-1-22-1-12-1-1-1-121122-2-2-1-1-1-1-2-2-2-211111111-220022-2-211-1-1-1-1110000-2-2000022-1-1-1-1-2200-1-11111-1-10000000000110000
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χ2622222-122-1222-12-12-12-12-12-1-12-12-1-1220022-1-1-1-12-1-1-122-1-1-1-1-1-102-2-200-1-100220022-2-2110000-2-20000000-11-200-1-100-1-111110-20011000100
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χ2922222-122-1222-12-12-12-1-2-12-1-12-12-1-1-2-20022-1-1-1-1-2111-2-21111110-22-200-1-100-2-2002222110000-2-200000001-1-200-1-10011-1-111020011000-100
χ3022222-122-1222-12-12-12-1-2-12-1-12-12-1-1-2-20022-1-1-1-1-2111-2-21111110-2-2200-1-100-2-20022-2-2-1-1000022000000011200-1-1001111-1-10-200-1-1000100
χ3122222-122-1222-12-12-12-1-2-12-1-12-12-1-1-2-200-2-2-1-1-1-1-2111-2-2111111022-20011002200-2-222110000220000000-1-1-2001100-1-1-1-1110-200-1-1000100
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χ402222-122-1222-12-122-1-12-2-1-12-1-12-12-1-2-2-2-200-1-1-1-11-21111-2-2111120-2211002200-2-2001122002200000000-10-2-11100-1-10011-1-1-20-1-100001000
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χ532-2-22222-2-2-22-2-222-22220-222-2-2-2-2-220000002-22-200000000000000000000000000000000002i−2i2i−2i2-22-22-20000000000000000002i−2i2i−2i000000
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χ954-4-444-24-42-44-424-2-4-24-2024-22-42-42-2000000-22-22000000000000000000000000000000000000−4i4i000000000000000000000000002i−2i000000
χ964-4-44-2442-4-442-4-24-4-2-2402-2422-42-4-2000000-22-2200000000000000000000000000000000004i−4i00000000000000000000000000−2i2i00000000
χ974-4-44-2442-4-442-4-24-4-2-2402-2422-42-4-2000000-22-220000000000000000000000000000000000−4i4i000000000000000000000000002i−2i00000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-40000-1-1-1-1-4-4222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-8222222222440000-1-1-1-144-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-48-4-4-8-8444482-4-40244-2-4-444-200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-4-4444444-422202-2-2-222-2-2-243−430000-1-1110000−2323−232333−3−3000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-4-4444444-422202-2-2-222-2-2-2−43430000-1-111000023−2323−23−3−333000000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-4-84-448-4-844-4-42044-2-44-2-4240000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-44-8-44-484-84-42-404-24-4-242-440000002-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-444-44-4-44442220-2-2-22-2-222-2000000-111-1006-60000-33-33000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-444-44-4-44442220-2-2-22-2-222-2000000-111-100-6600003-33-3000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-4-844-4-848-44-4-4204-4244-24-2-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-84-44-8-484-42-4042-44-24-24-40000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-4844-8844-4-4-82-4-40-2-4-4-2444420000002-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-4444-444-4-442220-222-2-2-2-2-22000000-11-110000000033−33−3333000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-4444-444-4-442220-222-2-2-2-2-22000000-11-1100000000−333333−33000000000000000000000000000000000000000000000000000000000000

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