Finite Group Databasebeta

← Group #10733232

Character table — Group #10733232

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order1222222222222222366666666666666644444444444444441212121212121212121212121212121212121212121212124444441212121212121212121212121212121222224444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1
χ911111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1011111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ172222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111100000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-111111111-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
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χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-21111111111111111-1-1-1-1-1-1-1-12222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ252222-2-222-2-2-22-2-22-222222-2-2-2-2222-2-2-2-2000000002i2i−2i−2i000000000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000022-2-200002i−2i000000
χ262222-2-222-2-2-22-2-22-222222-2-2-2-2222-2-2-2-2000000002i2i−2i−2i000000000000000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000-2-2220000−2i2i000000
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χ282222-2-222-2-2-22-2-22-222222-2-2-2-2222-2-2-2-200000000−2i−2i2i2i00000000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000-2-22200002i−2i000000
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χ36222-22-22-22-2-2-22-2-22-1-1-111-1-111-111-1-11100002i2i−2i−2i0000−2i−2i2i2i−3−3−3−33333−i−i−i−iiiiii3i3−i3−i3i3i3−i3−i300-2200ii−i−i−i3−i3i3i311-1-133−3−300000000000000000000
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χ4422-222-2-2-2-222-22-22-222-22-222-2-2-22-2-2-222−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000-2-22200000000002i−2i0000
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χ572-22-222-2-222-22-2-22-22-22-22-222-2-22-2-222-2000000002i−2i2i−2i000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000002-22-200002i−2i0000000000
χ582-22-222-2-222-22-2-22-22-22-22-222-2-22-2-222-2000000002i−2i2i−2i000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000-22-220000−2i2i0000000000
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χ672-22-2-2-2-2-2-2-2222222-11-11-1-111-11-11-111-1000000002-2-22-222-23−33−3−33−3333−3−3−3−333-111-1-111-10000-221-1-113−3−333−3−331-1-1100000000000000000000
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χ722-22-2-2-2-2-2-2-2222222-11-11-1-111-11-11-111-100000000-222-2-222-2−33−333−33−333−3−3−3−3331-1-111-1-1100002-21-1-11−333−33−3−33-111-100000000000000000000
χ732-2-22222-2-2-222-2-2-222-2-222-222-22-2-22-2-2200002i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000002i−2i2i−2i00000000002-2
χ742-2-22222-2-2-222-2-2-222-2-222-222-22-2-22-2-2200002i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000−2i2i−2i2i0000000000-22
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χ772-2-22-2-22-222-2222-2-22-2-2222-2-222-2-2-222-22i−2i−2i2i0000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000002i−2i−2i2i002-200000000
χ782-2-22-2-22-222-2222-2-22-2-2222-2-222-2-2-222-22i−2i−2i2i0000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000−2i2i2i−2i00-2200000000
χ792-2-22-2-22-222-2222-2-22-2-2222-2-222-2-2-222-2−2i2i2i−2i000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000002i−2i−2i2i00-2200000000
χ802-2-22-2-22-222-2222-2-22-2-2222-2-222-2-2-222-2−2i2i2i−2i000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000−2i2i2i−2i002-200000000
χ812-2-2-22-222-22-2-2-22222-2-2-2-2-22-222222-22-200002-2-2200000000000000002-22-2-22-220000000000000000000000000000002-2-220000000000002-200
χ822-2-2-22-222-22-2-2-22222-2-2-2-2-22-222222-22-200002-2-2200000000000000002-22-2-22-22000000000000000000000000000000-222-2000000000000-2200
χ832-2-2-22-222-22-2-2-22222-2-2-2-2-22-222222-22-20000-222-20000000000000000-22-222-22-20000000000000000000000000000002-2-22000000000000-2200
χ842-2-2-22-222-22-2-2-22222-2-2-2-2-22-222222-22-20000-222-20000000000000000-22-222-22-2000000000000000000000000000000-222-20000000000002-200
χ854444-4-444-4-4-44-4-44-4-2-2-2-2-22222-2-2-22222000000004i4i−4i−4i00000000000000000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000
χ864444-4-444-4-4-44-4-44-4-2-2-2-2-22222-2-2-2222200000000−4i−4i4i4i000000000000000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000
χ87444-4-444-4-444-4-44-4-4444-4-4-4-4444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ88444-4-444-4-444-4-44-4-4-2-2-22222-2-2-22222-2-2000000000000000000000000000000002323−23−23−23−232323000000000000000000000000000000000000000000
χ89444-4-444-4-444-4-44-4-4-2-2-22222-2-2-22222-2-200000000000000000000000000000000−23−2323232323−23−23000000000000000000000000000000000000000000
χ9044-444-4-4-4-444-44-44-4-2-22-22-2-2222-2222-2-24i4i−4i−4i000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000
χ9144-444-4-4-4-444-44-44-4-2-22-22-2-2222-2222-2-2−4i−4i4i4i0000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ9244-44-44-4-44-4-4-4-444444-44-4-4-444-44-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-44-44-4-44-4-4-4-4444-2-22-2222-2-22-22-2-22200000000000000000000000023−23−232323−23−232300000000000000000000000000000000000000000000000000
χ9444-44-44-4-44-4-4-4-4444-2-22-2222-2-22-22-2-222000000000000000000000000−232323−23−232323−2300000000000000000000000000000000000000000000000000
χ9544-4-444-44-4-4-4444-4-444-4-444444-4-44-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9644-4-444-44-4-4-4444-4-4-2-222-2-2-2-2-222-222220000000000000000−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000000
χ9744-4-444-44-4-4-4444-4-4-2-222-2-2-2-2-222-2222200000000000000002i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000000
χ9844-4-4-4-4-444444-4-4-4444-4-44-4-4-4-4-4-4444440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9944-4-4-4-4-444444-4-4-44-2-222-2222222-2-2-2-2-2000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i300000000000000000000000000000000000000000000000000
χ10044-4-4-4-4-444444-4-4-44-2-222-2222222-2-2-2-2-20000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i300000000000000000000000000000000000000000000000000
χ1014-4444-4-444-44-4-44-4-44-444-4-44-44-4-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4444-4-444-44-4-44-4-4-22-2-222-22-222-22-22-20000000000000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000
χ1034-4444-4-444-44-4-44-4-4-22-2-222-22-222-22-22-200000000000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000
χ1044-44-444-4-444-44-4-44-4-22-22-22-2-222-222-2-22000000004i−4i4i−4i00000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000
χ1054-44-444-4-444-44-4-44-4-22-22-22-2-222-222-2-2200000000−4i4i−4i4i000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000
χ1064-4-44444-4-4-444-4-4-44-222-2-22-2-22-222-222-200004i−4i4i−4i0000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000
χ1074-4-44444-4-4-444-4-4-44-222-2-22-2-22-222-222-20000−4i4i−4i4i00000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000
χ1084-4-44-4-44-444-4444-4-4-222-2-2-222-2-2222-2-224i−4i−4i4i000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ1094-4-44-4-44-444-4444-4-4-222-2-2-222-2-2222-2-22−4i4i4i−4i0000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ1104-4-4-44-444-44-4-4-4444-222222-22-2-2-2-2-22-2200004-4-440000000000000000-22-222-22-200000000000000000000000000000000000000000000000000
χ1114-4-4-44-444-44-4-4-4444-222222-22-2-2-2-2-22-220000-444-400000000000000002-22-2-22-2200000000000000000000000000000000000000000000000000
χ1124-4-4-4-44444-44-44-44-44-4-4-4-44-44-4444-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-4-44444-44-44-44-4-22222-22-22-2-2-22-22-20000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1144-4-4-4-44444-44-44-44-4-22222-22-22-2-2-22-22-200000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000

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