Finite Group Databasebeta

← Group #13176511

Character table — Group #13176511

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222224444444444444444444444444444466888888888888888888888888888888888812121212121212121212121212121212121212181824242424242424243636363636363654547272108108108
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χ411111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
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χ974-44-4-24-2-2442-4222-422-24-2-2-4-4-24-2-20002-422-24-2-22-4220023−230023−23−23230000000000000000000023−230023−23−2323000000000000000000000000000000000000000000000000000
χ984-44-4-24-2-2442-4222-422-24-2-2-4-4-24-2-20002-422-24-2-22-42200−232300−232323−2300000000000000000000−232300−232323−23000000000000000000000000000000000000000000000000000
χ994-44-4-24-2-2-2-22-4222-422-24-2-2221-211000-12-1-11-211-12-1-1−2i32i323−230023−23−2323000000000000i3−i3−2i32i3i3−i3i3−i3−3300−333−33i−3i003i−3i−3i3i0000000000000000000000000000000000000000000
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χ1064-44-4-2-24-2-2-222-4222-42-2-24-22211-21000-1-12-111-21-1-12-1−2i32i3−232323−2300−2323000000000000i3−i3i3−i3−2i32i3i3−i33−3−33003−3−3i3i3i−3i00−3i3i0000000000000000000000000000000000000000000
χ1074-44-4-2-24-2-2-222-4222-42-2-24-22211-21000-1-12-111-21-1-12-12i3−2i323−23−23230023−23000000000000−i3i3−i3i32i3−2i3−i3i3−333−300−33−3i3i3i−3i00−3i3i0000000000000000000000000000000000000000000
χ1084-44-4-2-24-2-2-222-4222-42-2-24-22211-21000-1-12-111-21-1-12-12i3−2i3−232323−2300−2323000000000000−i3i3−i3i32i3−2i3−i3i33−3−33003−33i−3i−3i3i003i−3i0000000000000000000000000000000000000000000
χ1094-44-4-2-2-2444222-4222-4-2-2-24-4-4-2-2-24000222-4-2-2-24222-40023−2323−23−2323000000000000000000000023−2323−23−232300000000000000000000000000000000000000000000000000000
χ1104-44-4-2-2-2444222-4222-4-2-2-24-4-4-2-2-24000222-4-2-2-24222-400−2323−232323−230000000000000000000000−2323−232323−2300000000000000000000000000000000000000000000000000000
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χ1154-4-444444-22-4-4-4-44444-4-4-4-4-22-2-2-2-200022222222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000004i−4i0000000000000−2i2i0000000
χ1164-4-444444-22-4-4-4-44444-4-4-4-4-22-2-2-2-200022222222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000−4i4i00000000000002i−2i0000000
χ1174-4-444-2-2-24-4-42224-2-2-2-42224-44-2-2-2000-4222-42224-2-2-200000000004i−4i0000000000000000000000000000000000000000000004i−4i−2i2i−2i2i−2i2i000000000000000000000000
χ1184-4-444-2-2-24-4-42224-2-2-2-42224-44-2-2-2000-4222-42224-2-2-20000000000−4i4i000000000000000000000000000000000000000000000−4i4i2i−2i2i−2i2i−2i000000000000000000000000
χ1194-4-44-24-2-24-42-422-24-2-22-4224-4-24-2-20002-4222-422-24-2-200000000004i−4i000000000000000000000000000000000000000000000−2i2i4i−4i−2i2i−2i2i000000000000000000000000
χ1204-4-44-24-2-24-42-422-24-2-22-4224-4-24-2-20002-4222-422-24-2-20000000000−4i4i0000000000000000000000000000000000000000000002i−2i−4i4i2i−2i2i−2i000000000000000000000000
χ1214-4-44-2-24-24-422-42-2-24-222-424-4-2-24-200022-4222-42-2-24-200000000004i−4i000000000000000000000000000000000000000000000−2i2i−2i2i4i−4i−2i2i000000000000000000000000
χ1224-4-44-2-24-24-422-42-2-24-222-424-4-2-24-200022-4222-42-2-24-20000000000−4i4i0000000000000000000000000000000000000000000002i−2i2i−2i−4i4i2i−2i000000000000000000000000
χ1234-4-44-2-2-244-4222-4-2-2-24222-44-4-2-2-24000222-4222-4-2-2-2400000000004i−4i000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i4i−4i000000000000000000000000
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χ12588-8-88-4-4-4-448-4-4-4-8444-84444-4-4222000-42224-2-2-24-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-8-48-4-4-44-48-4-44-8444-8444-42-4220002-422-24-2-2-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12788-8-8-4-48-4-44-4-48-444-8444-844-422-4200022-42-2-24-2-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12888-8-8-4-4-48-44-4-4-48444-8444-84-4222-4000222-4-2-2-24-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-888-4-4-4-44-84448-4-4-4-8444-44-42220004-2-2-24-2-2-2-422200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1318-8-88-4-48-4-4444-84-4-48-444-84-4422-42000-2-24-2-2-24-222-4200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-48-44444-8-4-4-48444-8-44222-4000-2-2-24-2-2-24222-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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