Finite Group Databasebeta

← Group #10733747

Character table — Group #10733747

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order1222222222222222366666666666666644444444444444441212121212121212121212121212121212121212121212124444441212121212121212121212121212121244444444222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111
χ5111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ6111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ911111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111
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
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χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2221111-1-1-1-1-1-1-1-1111100000000000000000000
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χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2222211111111-1-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-11111-1-1-1-1111100000000000000000000
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χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-1111111112222-2-21111-1-1-1-11111-1-1-1-100000000000000000000
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χ28222222-2-2-2-2-2-22-2-222222222-2-2-22-2-2-2-2-2000000000000-2-22200000000-2-2-2-22222000000000000000000000000000000−2i−2i2i2i00000000002i−2i0000
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χ4122-2-222-2-222-2-2-222-222-2-222-22-2-2-2222-2-200002i−2i2i−2i2i2i−2i−2i000000000000000000002i2i−2i−2i2i2i−2i−2i2-200002i−2i2i−2i2-22-20000000000000000000000000000
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χ4822-2-222-2-222-2-2-222-2-1-111-1-11-1111-1-1-11100002i−2i2i−2i−2i−2i2i2i0000i3i3−i3−i3i3i3−i3−i33−33−33−33−3ii−i−iii−i−i-220000−ii−ii1-11-1−i3i3−i3i3−33−3300000000000000000000
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χ5422-2-2-2-22-222-222-2-2222-2-2-2-22-22-22-222-220000000000002-22-2000000002-2-22-222-20000000000000000000000000000000000-2-2220000000000-22
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χ5922-2-2-2-2-22-2-22-2222222-2-2-2-222-2222-2-22-20000-222-200002-2-22000000002-2-222-2-22000000000000-22-222-20000-222-2000000000000000000000000
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χ6722-2-2-2-2-22-2-22-22222-1-11111-1-11-1-1-111-110000-222-20000-222-233−3−3−3−3331-1-111-1-1133−3−3−3−33300002-21-1-113−3−33-111-13−3−3300000000000000000000
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χ722-22-22-22-22-22-22-22-22-22-22-22-22-2-222-22-200000000−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000−2i2i−2i2i000000002-2000000
χ732-22-22-2-22-22-2222-2-22-22-22-222-22-2-2-22-222i−2i2i−2i0000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000002-2-220000000000002i−2i00
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χ792-22-2-22-2-22-222-22-222-22-2-22-22-2-22-22-222-222-2000000000000-22-222-22-20000000000000000000000000000000000000000002-22-2-220000000000
χ802-22-2-22-2-22-222-22-222-22-2-22-22-2-22-22-222-222-2000000000000-22-222-22-2000000000000000000000000000000000000000000-22-222-20000000000
χ812-2-222-2-222-2-22-2-2222-2-222-2-2-2-22222-2-22000000002-2-22000000000000000000002-2-222-2-22000000000000000000000000002-2-22002-200000000
χ822-2-222-2-222-2-22-2-2222-2-222-2-2-2-22222-2-22000000002-2-22000000000000000000002-2-222-2-2200000000000000000000000000-222-200-2200000000
χ832-2-222-2-222-2-22-2-2222-2-222-2-2-2-22222-2-2200000000-222-200000000000000000000-222-2-222-2000000000000000000000000002-2-2200-2200000000
χ842-2-222-2-222-2-22-2-2222-2-222-2-2-2-22222-2-2200000000-222-200000000000000000000-222-2-222-200000000000000000000000000-222-2002-200000000
χ85444444-4-4-4-4-4-44-4-44-2-2-2-2-2-2-2222-22222200000000000044-4-400000000-2-2-2-2222200000000000000000000000000000000000000000000000000
χ86444444-4-4-4-4-4-44-4-44-2-2-2-2-2-2-2222-222222000000000000-4-444000000002222-2-2-2-200000000000000000000000000000000000000000000000000
χ874444-4-4-44444-4-4-4-4-44444-4-4-4-4-44-4-4444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ884444-4-4-44444-4-4-4-4-4-2-2-2-222222-222-2-2-220000000000000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000
χ894444-4-4-44444-4-4-4-4-4-2-2-2-222222-222-2-2-22000000000000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000
χ9044-4-44444-4-444-4-4-4-444-4-444-4-444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-44444-4-444-4-4-4-4-2-222-2-222-2-22222-2-200000000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000
χ9244-4-44444-4-444-4-4-4-4-2-222-2-222-2-22222-2-2000000000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000
χ9344-4-4-4-44-444-444-4-44-2-22222-22-22-22-2-22-20000000000004-44-400000000-222-22-2-2200000000000000000000000000000000000000000000000000
χ9444-4-4-4-44-444-444-4-44-2-22222-22-22-22-2-22-2000000000000-44-44000000002-2-22-222-200000000000000000000000000000000000000000000000000
χ954-44-44-44-44-44-44-44-4-22-22-22-22-222-2-22-22000000004i−4i4i−4i00000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000
χ964-44-44-44-44-44-44-44-4-22-22-22-22-222-2-22-2200000000−4i4i−4i4i000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000000000
χ974-44-44-4-44-44-4444-4-4-22-22-22-2-22-2222-22-24i−4i4i−4i000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000
χ984-44-44-4-44-44-4444-4-4-22-22-22-2-22-2222-22-2−4i4i−4i4i0000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000
χ994-44-4-4444-44-4-4-4-4444-44-4-44-4-44444-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-4-4444-44-4-4-4-444-22-222-222-2-2-2-22-2220000000000000000000000000000000023−2323−23−2323−2323000000000000000000000000000000000000000000
χ1014-44-4-4444-44-4-4-4-444-22-222-222-2-2-2-22-22200000000000000000000000000000000−2323−232323−2323−23000000000000000000000000000000000000000000
χ1024-44-4-44-4-44-444-44-44-22-222-22-222-22-22-2-24-4-44000000000000-22-222-22-20000000000000000000000000000000000000000000000000000000000
χ1034-44-4-44-4-44-444-44-44-22-222-22-222-22-22-2-2-444-40000000000002-22-2-22-220000000000000000000000000000000000000000000000000000000000
χ1044-4-444-44-4-444-4-44-444-4-444-4-444-44-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-444-44-4-444-4-44-44-222-2-222-2-22-222-2-22000000000000000023−23−232323−23−23230000000000000000000000000000000000000000000000000000000000
χ1064-4-444-44-4-444-4-44-44-222-2-222-2-22-222-2-220000000000000000−232323−23−232323−230000000000000000000000000000000000000000000000000000000000
χ1074-4-444-4-444-4-44-4-444-222-2-22222-2-2-2-222-2000000004-4-4400000000000000000000-222-2-222-2000000000000000000000000000000000000000000
χ1084-4-444-4-444-4-44-4-444-222-2-22222-2-2-2-222-200000000-444-4000000000000000000002-2-222-2-22000000000000000000000000000000000000000000
χ1094-4-44-44444-4-4-444-4-44-4-44-444444-4-44-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-4-44-44444-4-4-444-4-4-222-22-2-2-2-2-222-22220000000000000000−2i32i32i3−2i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1114-4-44-44444-4-4-444-4-4-222-22-2-2-2-2-222-222200000000000000002i3−2i3−2i32i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1124-4-44-44-4-4-44444-44-44-4-44-444-4-4-4-44-44440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-44-44-4-4-44444-44-4-222-22-2-22222-22-2-2-200000000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000
χ1144-4-44-44-4-4-44444-44-4-222-22-2-22222-22-2-2-2000000000000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000

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