Finite Group Databasebeta

← Group #13175193

Character table — Group #13175193

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
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χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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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
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χ13111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-111111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-11-1-11
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χ15111111111-1-1-1-1111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-111-1-1-1-1-111111111-1-1-1-11111-111-111-1-1-1-1-111-1
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χ1194-44-4-24-2-244-400002-2-442-22-2-44-42-422-24-2-22-22-44-42-222-22-224-4-22-224-400000000000000000000-2-22244-4-4-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000
χ1204-44-4-24-2-24-4400002-2-442-22-2-44-42-422-24-2-22-22-44-42-222-222-2-442-22-2-440000000000000000000022-2-2-4-44422-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1214-44-4-24-2-2-24-400002-2-442-22-22-222-4221-211-11-12-22-11-1-11-1-224-4-22-22-220000000000000000000011-1-1-2-22211-1-111-1-13i−3i3i−3i00003i−3i3i−3i−3i3i−3i3i3i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000
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χ1264-44-4-2-24-24-4400002-22-2-442-2-44-422-42-2-24-22-222-22-44-42-222-22-2-442-2-440000000000000000000022-2-222-2-2-4-44422-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1274-44-4-2-24-2-24-400002-22-2-442-22-2222-4211-21-11-1-11-12-22-11-1-22-224-4-22-220000000000000000000011-1-111-1-1-2-22211-1-13i−3i3i−3i−3i3i−3i3i00003i−3i3i−3i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i00000000000000000000000000000000000000
χ1284-44-4-2-24-2-24-400002-22-2-442-22-2222-4211-21-11-1-11-12-22-11-1-22-224-4-22-220000000000000000000011-1-111-1-1-2-22211-1-1−3i3i−3i3i3i−3i3i−3i0000−3i3i−3i3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i00000000000000000000000000000000000000
χ1294-44-4-2-24-2-2-4400002-22-2-442-22-2222-4211-21-11-1-11-12-22-11-12-22-2-442-22-200000000000000000000-1-111-1-11122-2-2-1-1113i−3i3i−3i−3i3i−3i3i00003i−3i3i−3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i00000000000000000000000000000000000000
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χ1324-44-4-2-2-244-4400002-22-22-2-44-44-4222-4-2-2-242-222-222-22-44-42-22-22-2-44-440000000000000000000022-2-222-2-222-2-2-4-4440000000000000000000000000000000000000000000000000000000000000000000000
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χ1344-44-4-2-2-24-24-400002-22-22-2-442-22222-4111-2-11-1-11-1-11-12-22-22-22-224-4-220000000000000000000011-1-111-1-111-1-1-2-222−3i3i−3i3i−3i3i−3i3i3i−3i3i−3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1354-44-4-2-2-24-2-4400002-22-22-2-442-22222-4111-2-11-1-11-1-11-12-222-22-22-2-442-200000000000000000000-1-111-1-111-1-11122-2-23i−3i3i−3i3i−3i3i−3i−3i3i−3i3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ1364-44-4-2-2-24-2-4400002-22-22-2-442-22222-4111-2-11-1-11-1-11-12-222-22-22-2-442-200000000000000000000-1-111-1-111-1-11122-2-2−3i3i−3i3i−3i3i−3i3i3i−3i3i−3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ1374-4-444444-200004-4-4-4-4-4-4-4-4-422-24444-2-2-2-222-222-222-222-200000000000000000000-224-44-44-44-400000000000000000000000000000000-2-222-2-222-2-222-2-22200000000000000000000000000000000000000
χ1384-4-444444-20000-44-4-4-4-4-4-4-4-422-24444-2-2-2-222-222-222-222-2000000000000000000002-2-44-44-44-440000000000000000000000000000000022-2-222-2-222-2-222-2-200000000000000000000000000000000000000
χ1394-4-444-2-2-2400004-4-4-4222222-4-444-2-2-24-2-2-2-4-4422-222-222-2000000000000000000004-44-4-22-22-220000000000000000000000000000000044-4-4-2-222-2-222-2-22200000000000000000000000000000000000000
χ1404-4-444-2-2-240000-44-4-4222222-4-444-2-2-24-2-2-2-4-4422-222-222-200000000000000000000-44-442-22-22-200000000000000000000000000000000-4-44422-2-222-2-222-2-200000000000000000000000000000000000000
χ1414-4-444-2-2-2-200004-4-4-422222222-24-2-2-2-211122-2-1-11-1-11-1-1100000000000000000000-224-4-22-22-2200003i−3i−3i3i3i−3i−3i3i3i−3i−3i3i0000−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i-2-22211-1-111-1-111-1-100000000000000000000000000000000000000
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χ1464-4-44-24-2-240000-4422-4-42222-4-44-24-2-2-24-2-222-2-4-4422-222-200000000000000000000-442-2-442-22-20000000000000000000000000000000022-2-2-4-44422-2-222-2-200000000000000000000000000000000000000
χ1474-4-44-24-2-2-200004-422-4-4222222-2-24-2-21-211-1-1122-2-1-11-1-1100000000000000000000-22-224-4-22-223i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i11-1-1-2-22211-1-111-1-100000000000000000000000000000000000000
χ1484-4-44-24-2-2-200004-422-4-4222222-2-24-2-21-211-1-1122-2-1-11-1-1100000000000000000000-22-224-4-22-22−3i3i3i−3i0000−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i00003i−3i−3i3i−3i3i3i−3i11-1-1-2-22211-1-111-1-100000000000000000000000000000000000000
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χ1554-4-44-2-24-2-20000-442222-4-42222-2-2-24-211-21-1-11-1-1122-2-1-11000000000000000000002-22-22-2-442-23i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i-1-111-1-11122-2-2-1-11100000000000000000000000000000000000000
χ1564-4-44-2-24-2-20000-442222-4-42222-2-2-24-211-21-1-11-1-1122-2-1-11000000000000000000002-22-22-2-442-2−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i-1-111-1-11122-2-2-1-11100000000000000000000000000000000000000
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χ1584-4-44-2-2-2440000-44222222-4-4-4-44-2-2-24-2-2-2422-222-222-2-4-4400000000000000000000-442-22-22-2-440000000000000000000000000000000022-2-222-2-222-2-2-4-44400000000000000000000000000000000000000
χ1594-4-44-2-2-24-200004-4222222-4-422-2-2-2-24111-2-1-11-1-11-1-1122-200000000000000000000-22-22-22-224-43i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i000011-1-111-1-111-1-1-2-22200000000000000000000000000000000000000
χ1604-4-44-2-2-24-200004-4222222-4-422-2-2-2-24111-2-1-11-1-11-1-1122-200000000000000000000-22-22-22-224-4−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i000011-1-111-1-111-1-1-2-22200000000000000000000000000000000000000
χ1614-4-44-2-2-24-20000-44222222-4-422-2-2-2-24111-2-1-11-1-11-1-1122-2000000000000000000002-22-22-22-2-443i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000-1-111-1-111-1-11122-2-200000000000000000000000000000000000000
χ1624-4-44-2-2-24-20000-44222222-4-422-2-2-2-24111-2-1-11-1-11-1-1122-2000000000000000000002-22-22-22-2-44−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000-1-111-1-111-1-11122-2-200000000000000000000000000000000000000

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