Finite Group Databasebeta

← Group #10733671

Character table — Group #10733671

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111111111112222222222222222444444444444444444444444444444444444444488888888888888888888881212121212121212242424242424242424242424
order12222222222222223666666666666666222244444444444412121212121212121212121212121212121212121212121222444466666666121212121212121244444444224444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ6111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ911111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111
χ1111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111
χ1211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-111
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-111-1-1
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
χ182222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ192222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ202222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ212222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111111100000000000000000000
χ222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ232222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ242222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ25222222-2-2-22-2-2-2-2-222222222-2-2-2-2-22-2-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000022-2-20000002i−2i0000
χ26222222-2-2-22-2-2-2-2-222222222-2-2-2-2-22-2-2-200002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000-2-222000000−2i2i0000
χ27222222-2-2-22-2-2-2-2-222222222-2-2-2-2-22-2-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000022-2-2000000−2i2i0000
χ28222222-2-2-22-2-2-2-2-222222222-2-2-2-2-22-2-2-20000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000-2-2220000002i−2i0000
χ292222-2-222-2-2-2-22-22-22222-2-2-2222-2-2-22-2-222-2-22i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000000000000002i−2i0022-2-200002i2i−2i−2i000000000000000000000000
χ302222-2-222-2-2-2-22-22-22222-2-2-2222-2-2-22-2-222-2-2−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000−2i2i0022-2-20000−2i−2i2i2i000000000000000000000000
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χ332222-2-222-2-2-2-22-22-2-1-1-1-1111-1-1-1111-11122-2-22i−2i2i−2i00000000−i−iii−i−iii3333−3−3−3−3−i3−i3−i3−i3i3i3i3i3002i−2i00-1-111−i3−i3i3i3−i−iii33−3−300000000000000000000
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χ352222-2-222-2-2-2-22-22-2-1-1-1-1111-1-1-1111-11122-2-2−2i2i−2i2i00000000ii−i−iii−i−i3333−3−3−3−3i3i3i3i3−i3−i3−i3−i300−2i2i00-1-111i3i3−i3−i3ii−i−i33−3−300000000000000000000
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χ372222-2-222-2-2-2-22-22-2-1-1-1-1111-1-1-1111-111-2-2222i−2i2i−2i00000000−i−iii−i−iii3333−3−3−3−3−i3−i3−i3−i3i3i3i3i300−2i2i0011-1-1i3i3−i3−i3ii−i−i−3−33300000000000000000000
χ382222-2-222-2-2-2-22-22-2-1-1-1-1111-1-1-1111-111-2-2222i−2i2i−2i00000000−i−iii−i−iii−3−3−3−33333i3i3i3i3−i3−i3−i3−i300−2i2i0011-1-1−i3−i3i3i3ii−i−i33−3−300000000000000000000
χ392222-2-222-2-2-2-22-22-2-1-1-1-1111-1-1-1111-111-2-222−2i2i−2i2i00000000ii−i−iii−i−i3333−3−3−3−3i3i3i3i3−i3−i3−i3−i3002i−2i0011-1-1−i3−i3i3i3−i−iii−3−33300000000000000000000
χ402222-2-222-2-2-2-22-22-2-1-1-1-1111-1-1-1111-111-2-222−2i2i−2i2i00000000ii−i−iii−i−i−3−3−3−33333−i3−i3−i3−i3i3i3i3i3002i−2i0011-1-1i3i3−i3−i3−i−iii33−3−300000000000000000000
χ412222-2-2-2-22-222-22-2-22222-2-2-2-2-2-222-2-22200002-2-220000000022-2-2-2-222000000000000000000000000000000000000002i2i−2i−2i0000002i−2i00000000
χ422222-2-2-2-22-222-22-2-22222-2-2-2-2-2-222-2-22200002-2-220000000022-2-2-2-22200000000000000000000000000000000000000−2i−2i2i2i000000−2i2i00000000
χ432222-2-2-2-22-222-22-2-22222-2-2-2-2-2-222-2-2220000-222-200000000-2-22222-2-2000000000000000000000000000000000000002i2i−2i−2i000000−2i2i00000000
χ442222-2-2-2-22-222-22-2-22222-2-2-2-2-2-222-2-2220000-222-200000000-2-22222-2-200000000000000000000000000000000000000−2i−2i2i2i0000002i−2i00000000
χ4522-2-22-22-222-222-2-2-222-2-22-2-222-22-22-2-220000000022-2-200000000000022-2-222-2-20000000000000000000000000000002i−2i2i−2i000000002i−2i000000
χ4622-2-22-22-222-222-2-2-222-2-22-2-222-22-22-2-220000000022-2-200000000000022-2-222-2-2000000000000000000000000000000−2i2i−2i2i00000000−2i2i000000
χ4722-2-22-22-222-222-2-2-222-2-22-2-222-22-22-2-2200000000-2-222000000000000-2-222-2-2220000000000000000000000000000002i−2i2i−2i00000000−2i2i000000
χ4822-2-22-22-222-222-2-2-222-2-22-2-222-22-22-2-2200000000-2-222000000000000-2-222-2-222000000000000000000000000000000−2i2i−2i2i000000002i−2i000000
χ4922-2-2-22-222-2-22-2-22222-2-2-222-2-222-2-22-2200000000000022-2-2000000000000000022-2-222-2-200000000000000000000002-2-2200002-20000000000
χ5022-2-2-22-222-2-22-2-22222-2-2-222-2-222-2-22-2200000000000022-2-2000000000000000022-2-222-2-20000000000000000000000-222-20000-220000000000
χ5122-2-2-22-222-2-22-2-22222-2-2-222-2-222-2-22-22000000000000-2-2220000000000000000-2-222-2-22200000000000000000000002-2-220000-220000000000
χ5222-2-2-22-222-2-22-2-22222-2-2-222-2-222-2-22-22000000000000-2-2220000000000000000-2-222-2-2220000000000000000000000-222-200002-20000000000
χ532-22-22-2-2-22-2-2-222222-22-222-22-2-222-22-2-22-22-2000000002-22-200000000000000002-22-22-22-22-200002-22-22-22-20000000000000000000000000000
χ542-22-22-2-2-22-2-2-222222-22-222-22-2-222-22-2-22-22-200000000-22-220000000000000000-22-22-22-22-2200002-22-2-22-220000000000000000000000000000
χ552-22-22-2-2-22-2-2-222222-22-222-22-2-222-22-2-2-22-22000000002-22-200000000000000002-22-22-22-2-220000-22-22-22-220000000000000000000000000000
χ562-22-22-2-2-22-2-2-222222-22-222-22-2-222-22-2-2-22-2200000000-22-220000000000000000-22-22-22-222-20000-22-222-22-20000000000000000000000000000
χ572-22-22-2-2-22-2-2-22222-11-11-1-11-111-1-11-1112-22-2000000002-22-23−33−33−33−33−33−33−33−3-11-11-11-112-20000-11-11-11-113−33−33−33−300000000000000000000
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χ602-22-22-2-2-22-2-2-22222-11-11-1-11-111-1-11-1112-22-200000000-22-22−33−33−33−333−33−33−33−31-11-11-11-1-220000-11-111-11-1−33−333−33−300000000000000000000
χ612-22-22-2-2-22-2-2-22222-11-11-1-11-111-1-11-111-22-22000000002-22-23−33−33−33−33−33−33−33−3-11-11-11-11-2200001-11-11-11-1−33−33−33−3300000000000000000000
χ622-22-22-2-2-22-2-2-22222-11-11-1-11-111-1-11-111-22-22000000002-22-2−33−33−33−33−33−33−33−33-11-11-11-11-2200001-11-11-11-13−33−33−33−300000000000000000000
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χ642-22-22-2-2-22-2-2-22222-11-11-1-11-111-1-11-111-22-2200000000-22-22−33−33−33−333−33−33−33−31-11-11-11-12-200001-11-1-11-113−33−3−33−3300000000000000000000
χ652-22-2-22-2-2-22222-22-22-22-2-2-222-2-2-2-222222-2-2200002-22-20000000000002-22-2-22-220000000000002-22-2-22000000002-2-2200000000000000000000
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χ762-22-2-22-2-2-22222-22-2-11-1111-1-11111-1-1-1-1-222-20000-22-220000i3−i3−i3i3i3−i3−i3i31-11-1-11-11−i3i3−i3i3i3−i3i3−i300002-21-1-11i3−i3−i3i3−i3i3i3−i3-111-100000000000000000000
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χ792-2-22-2-22-2222-2-2-2222-2-22-22-2-22-22-2222-2000000000000-222-20000000000000000-222-2-222-2000000000000000000000000002-22-200000000-2200
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χ812-2-22-2-2-22-22-2222-222-2-22-22-22-22-222-2-22000000002-2-220000000000002-2-22-222-200000000000000000000000000000000002-2-2200000000002-2
χ822-2-22-2-2-22-22-2222-222-2-22-22-22-22-222-2-22000000002-2-220000000000002-2-22-222-20000000000000000000000000000000000-222-20000000000-22
χ832-2-22-2-2-22-22-2222-222-2-22-22-22-22-222-2-2200000000-222-2000000000000-222-22-2-2200000000000000000000000000000000002-2-220000000000-22
χ842-2-22-2-2-22-22-2222-222-2-22-22-22-22-222-2-2200000000-222-2000000000000-222-22-2-220000000000000000000000000000000000-222-200000000002-2
χ85444444-4-4-44-4-4-4-4-44-2-2-2-2-2-2-222222-222200004i4i−4i−4i00000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000
χ86444444-4-4-44-4-4-4-4-44-2-2-2-2-2-2-222222-22220000−4i−4i4i4i000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000
χ874444-4-4-4-44-444-44-4-4-2-2-2-2222222-2-222-2-200004-4-4400000000-2-22222-2-20000000000000000000000000000000000000000000000000000000000
χ884444-4-4-4-44-444-44-4-4-2-2-2-2222222-2-222-2-20000-444-40000000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000
χ8944-4-44-44-444-444-4-4-4-2-222-222-2-22-22-222-20000000044-4-4000000000000-2-222-2-22200000000000000000000000000000000000000000000000000
χ9044-4-44-44-444-444-4-4-4-2-222-222-2-22-22-222-200000000-4-44400000000000022-2-222-2-200000000000000000000000000000000000000000000000000
χ9144-4-44-4-44-444-4-444-444-4-44-4-4-4-44-44444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-44-4-44-444-4-444-4-2-222-22222-22-2-2-2-2200000000000000000000000000000000−2i3−2i32i32i32i32i3−2i3−2i3000000000000000000000000000000000000000000
χ9344-4-44-4-44-444-4-444-4-2-222-22222-22-2-2-2-22000000000000000000000000000000002i32i3−2i3−2i3−2i3−2i32i32i3000000000000000000000000000000000000000000
χ9444-4-4-444-4-4-44-444-4444-4-4-44444-4-44-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9544-4-4-444-4-4-44-444-44-2-2222-2-2-2-222-222-220000000000000000000000002323−23−23−23−23232300000000000000000000000000000000000000000000000000
χ9644-4-4-444-4-4-44-444-44-2-2222-2-2-2-222-222-22000000000000000000000000−23−2323232323−23−2300000000000000000000000000000000000000000000000000
χ9744-4-4-44-444-4-44-4-444-2-2222-2-222-2-222-22-200000000000044-4-40000000000000000-2-222-2-222000000000000000000000000000000000000000000
χ9844-4-4-44-444-4-44-4-444-2-2222-2-222-2-222-22-2000000000000-4-444000000000000000022-2-222-2-2000000000000000000000000000000000000000000
χ994-44-44-444-4-444-4-4-444-44-444-4-444-4-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-44-44-444-4-444-4-4-44-22-22-2-222-2-22222-2-20000000000000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ1014-44-44-444-4-444-4-4-44-22-22-2-222-2-22222-2-200000000000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ1024-44-4-444444-4-4-44-4-44-44-4-4-44-444444-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-44-4-444444-4-4-44-4-4-22-2222-22-2-2-2-2-2222000000000000000023−23−2323−232323−230000000000000000000000000000000000000000000000000000000000
χ1044-44-4-444444-4-4-44-4-4-22-2222-22-2-2-2-2-22220000000000000000−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000
χ1054-4-44444-4-4-4-44-444-44-4-444-44-44-4-44-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-4-44444-4-4-4-44-444-4-222-2-22-22-222-22-22-200000000000000000000000000000000−2i32i32i3−2i32i3−2i3−2i32i3000000000000000000000000000000000000000000
χ1074-4-44444-4-4-4-44-444-4-222-2-22-22-222-22-22-2000000000000000000000000000000002i3−2i3−2i32i3−2i32i32i3−2i3000000000000000000000000000000000000000000
χ1084-4-4444-444-44-44-4-4-44-4-444-444-444-4-4-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-4-4444-444-44-44-4-4-4-222-2-22-2-22-2-2222-2200000000000000000000000023−23−232323−23−232300000000000000000000000000000000000000000000000000
χ1104-4-4444-444-44-44-4-4-4-222-2-22-2-22-2-2222-22000000000000000000000000−232323−23−232323−2300000000000000000000000000000000000000000000000000
χ1114-4-44-4-44-4444-4-4-444-222-22-222-22-22-2-2-220000000000004-4-440000000000000000-222-2-222-2000000000000000000000000000000000000000000
χ1124-4-44-4-44-4444-4-4-444-222-22-222-22-22-2-2-22000000000000-444-400000000000000002-2-222-2-22000000000000000000000000000000000000000000
χ1134-4-44-4-4-44-44-4444-44-222-22-22-22-22-2-222-2000000004-4-44000000000000-222-22-2-2200000000000000000000000000000000000000000000000000
χ1144-4-44-4-4-44-44-4444-44-222-22-22-22-22-2-222-200000000-444-40000000000002-2-22-222-200000000000000000000000000000000000000000000000000

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