Finite Group Databasebeta

← Group #13159368

Character table — Group #13159368

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222222222222222224444444444444444444444444466668888888888888888888888888888888888812121212121212121212121212121212181818182424242424242424243636363654545454727272216
order122233333446666666666666663333666666666666121212121212121212128888412121212121212121212121212121212121212121212121212121212121212121212242424242424242424242424242424248888412121212121212122424242422442662
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111111-1
χ9222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000022-2-20000
χ10222222222-2-22222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000-2-2220000
χ1122222222-1222222-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-100002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222000000000-1-1-1-100002-1-10
χ1222222222-1222222-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-100002-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-200000000011110000-2110
χ1322222222-1222222-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000002222000000000-1-1-1-10000-2110
χ1422222222-1222222-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-12222-10000-211-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111110000000000000000-2-2-2-2000000000111100002-1-10
χ1522222-1-1-12222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12222222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222-1-1-1-1-1-1000000000000
χ1622222-1-1-12222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122222-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2111111000000000000
χ1722222-1-1-12222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-222222-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000-2-2-2111111000000000000
χ1822222-1-1-12222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-12-2-2-2-2-2-2-2-2-211111122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000222-1-1-1-1-1-1000000000000
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χ232222-1-12-1222-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-12-1-12-122222222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100002-1-1-1-122-1-1000000000000
χ242222-1-12-1222-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-12-1-12-122222-2-2-21111-2-211-1-1-1-122-1-111111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-10000-21111-2-211000000000000
χ252222-1-12-1222-1-12-12-1-12-122-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-12-1-12-12-2-2-2-2222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-211110000-21111-2-211000000000000
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χ302222-1-1-12222-1-1-122-1-1-1222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-122-1-1-122-2-2-2-2-2-2-2111111-2-2-1-1-1-1-1-122111111111111-2-2-2-2111111111111-2-2-2-200002-1-1-1-1-1-122000000000000
χ3122-2-2222220022222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2000000000022−2−20000000000000000000000000000000000022−2−222−2−222−2−222−2−2−i2−i2i2i2000000000−i2−i2i2i2002i−2i0000
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χ3322-2-2222220022222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000−2−22200000000000000000000000000000000000−2−222−2−222−2−222−2−222−i2−i2i2i2000000000−i2−i2i2i200−2i2i0000
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χ352-22-22222200-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2222200000000002−22−2000000000000000000000000000000000002−22−22−22−22−22−22−22−22−22−20000000002−22−22-2000000
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χ392-2-22222222-2-2-2-2-2-222222-2-2-2-2-22222-2-2-2-22222-2-2-2-222222-2-2-2-2-20000000000000002-22-22-22-2000000000000000000000000000000002i−2i−2i2i0000000002i−2i−2i2i00000000
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χ432-2-222222-12-2-2-2-2-212222-11-2-2-2-2-1-1-1-11111-1-1-1-111112222-1-2-2-2-21000003−300000000-11-11-11-1133−3−333−3−333−3−333−3−300000000000000002i−2i−2i2i000000000−iii−i00000−i3i30
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χ522-2-22-12-1-12-221-211-2-12-1-12-21-211-12-1-11-211-12-1-11-2111-211-2-12-1-122-2-22000−3300−333−31-1-221-11-1−33−330000−33−333−33−3-111-12-2-22-111-1-111-100000−3300−333−3000000000000
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χ6344444444-2-4-44444-24444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4-4-42-4-4-4-4200000000000000022222222000000000000000000000000000000000000000000000000000000000
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χ954-44-44444-200-4-4-4-42-4-4-4-42-24444-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000−2222−22220000000002−22−200000000
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χ1084-4-444-2-2-2-2-44-422224-2-2-2-22-4222-21112-1-1-1-21112-1-1-1-422224-2-2-2-200000000023−2323−2323−232-2-11-11-110000−33−33−33−33−33−3300000000000000000000000000000000000000000
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χ1104-4-44-24-2-244-42-422-4-24-2-24-42-422-24-2-22-422-24-2-22-422-24-2-242-422-4000000000000000-224-4-22-22000000000000000000000000000000000000000000000000000000000
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χ1224-4-44-2-2-24-24-4222-42-2-2-24-22222-4111-2-1-1-12111-2-1-1-12-2-2-24-2222-4200000−2323000000001-11-11-1-2233−3−333−3−333−3−3−23−23232300000000000000000000000000000000000000000
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χ12588-8-88-4-4-4-4008-4-4-4-4-844444-8444-4222-42224-2-2-24-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-8-48-4-4-400-48-4-4-44-844444-8442-4222-422-24-2-2-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-4-48-4-400-4-48-4-444-844444-8422-4222-42-2-24-2-2-24-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-4-48-400-4-4-48-4444-844444-8222-4222-4-2-2-24-2-2-24000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-88-4-4-4-400-84444-84444-48-4-4-4-42224-2-2-24-2-2-2-4222000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-48-4-4-4004-84444-8444-4-48-4-42-422-24-2-2-24-2-22-422000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4-48-4-40044-84444-844-4-4-48-422-42-2-24-2-2-24-222-42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4-4-48-400444-84444-84-4-4-4-48222-4-2-2-24-2-2-24222-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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