Finite Group Databasebeta

← Group #72255708

Character table — Group #72255708

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118
size1111222222222222222222222222222222888888888888888888888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616
order1222222222222222224444444444444444222222224444444444444444444444448888888888888888222244444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ91111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ101111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ121111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ131111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ141111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ151111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ161111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111
χ171-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11-11-11-11-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-1
χ181-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-11-11-11-11ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-111
χ191-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11-1-111-1-11−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-111
χ201-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-111-1-111-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-1
χ211-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-11-11-11-11−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-111
χ221-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-11-11-11-11-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-1
χ231-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-111-1-111-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-1
χ241-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11-1-111-1-11ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-111
χ251-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-111-1-111-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111
χ261-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-111111-1-111-1-11ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1
χ271-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-11-11-11-11−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-1
χ281-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-111111-11-11-11-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-111
χ291-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-111111-1-111-1-11−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1
χ301-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-111-1-111-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111
χ311-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-111111-11-11-11-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-111
χ321-1-11111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-11-11-11-11ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-1
χ332222222-2-2-222-22-2-2-2-22222-2-2-222-2-2-22-2-2200000000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-2000000000000000000002i−2i2i−2i00000000000000000000
χ342222222-2-2-222-22-2-2-2-22222-2-2-222-2-2-22-2-2200000000000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-22200000000000000000000−2i2i−2i2i00000000000000000000
χ352222222-2-2-222-22-2-2-2-22222-2-2-222-2-2-22-2-220000000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-200000000000000000000−2i2i−2i2i00000000000000000000
χ362222222-2-2-222-22-2-2-2-22222-2-2-222-2-2-22-2-220000000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-222000000000000000000002i−2i2i−2i00000000000000000000
χ372222222-2-2-222-22-2-2-2-2-2-2-2-2222-2-2222-222-222-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000002i−2i2i−2i00000000
χ382222222-2-2-222-22-2-2-2-2-2-2-2-2222-2-2222-222-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ392222222-2-2-222-22-2-2-2-2-2-2-2-2222-2-2222-222-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000−2i2i−2i2i00000000
χ402222222-2-2-222-22-2-2-2-2-2-2-2-2222-2-2222-222-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000002i−2i2i−2i00000000
χ4122222-2-222-22-2-2-222-2-222-2-222-22-222-2-2-2-22000000002-22-22-22-22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002i−2i2i−2i000000000000000000000000
χ4222222-2-222-22-2-2-222-2-222-2-222-22-222-2-2-2-22000000002-22-22-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−2i2i−2i2i000000000000000000000000
χ4322222-2-222-22-2-2-222-2-222-2-222-22-222-2-2-2-2200000000-22-22-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−2i2i−2i2i000000000000000000000000
χ4422222-2-222-22-2-2-222-2-222-2-222-22-222-2-2-2-2200000000-22-22-22-22−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002i−2i2i−2i000000000000000000000000
χ4522222-2-2-2-222-22-2-2-22222-2-2-2-222-2-2-22-222200000000000000002-2-222-2-22000000000000000022-2-222-2-2002200-2-20000000000000000000000000000
χ4622222-2-2-2-222-22-2-2-22222-2-2-2-222-2-2-22-222200000000000000002-2-222-2-220000000000000000-2-222-2-22200-2-200220000000000000000000000000000
χ4722222-2-2-2-222-22-2-2-22222-2-2-2-222-2-2-22-22220000000000000000-222-2-222-2000000000000000022-2-222-2-200-2-200220000000000000000000000000000
χ4822222-2-2-2-222-22-2-2-22222-2-2-2-222-2-2-22-22220000000000000000-222-2-222-20000000000000000-2-222-2-222002200-2-20000000000000000000000000000
χ4922222-2-2-2-222-22-2-2-222-2-22222-2-2222-22-2-2-2000000002i−2i−2i2i2i−2i−2i2i0000000022-2-222-2-20000000000000000000000000000000000002i−2i2i−2i000000000000
χ5022222-2-2-2-222-22-2-2-222-2-22222-2-2222-22-2-2-2000000002i−2i−2i2i2i−2i−2i2i00000000-2-222-2-222000000000000000000000000000000000000−2i2i−2i2i000000000000
χ5122222-2-2-2-222-22-2-2-222-2-22222-2-2222-22-2-2-200000000−2i2i2i−2i−2i2i2i−2i0000000022-2-222-2-2000000000000000000000000000000000000−2i2i−2i2i000000000000
χ5222222-2-2-2-222-22-2-2-222-2-22222-2-2222-22-2-2-200000000−2i2i2i−2i−2i2i2i−2i00000000-2-222-2-2220000000000000000000000000000000000002i−2i2i−2i000000000000
χ532222-22-22-22-22-2-22-22-22-22-22-2-2222-22-2-22-22-22-22-22-20000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000002i−2i2i−2i0000
χ542222-22-22-22-22-2-22-22-22-22-22-2-2222-22-2-22-22-22-22-22-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000000000−2i2i−2i2i0000
χ552222-22-22-22-22-2-22-22-22-22-22-2-2222-22-2-22-2-22-22-22-220000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000000000000000−2i2i−2i2i0000
χ562222-22-22-22-22-2-22-22-22-22-22-2-2222-22-2-22-2-22-22-22-22000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000002i−2i2i−2i0000
χ572222-22-2-22-2-222-2-22-222-22-2-22222-22-2-22-2-20000000000000000000000002-22-22-22-22i−2i−2i2i2i−2i−2i2i0000000000000000000000002i−2i2i−2i0000000000000000
χ582222-22-2-22-2-222-2-22-222-22-2-22222-22-2-22-2-20000000000000000000000002-22-22-22-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000−2i2i−2i2i0000000000000000
χ592222-22-2-22-2-222-2-22-222-22-2-22222-22-2-22-2-2000000000000000000000000-22-22-22-222i−2i−2i2i2i−2i−2i2i000000000000000000000000−2i2i−2i2i0000000000000000
χ602222-22-2-22-2-222-2-22-222-22-2-22222-22-2-22-2-2000000000000000000000000-22-22-22-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000002i−2i2i−2i0000000000000000
χ612222-22-2-22-2-222-2-22-22-22-222-2-2-2-22-222-2222-2-222-2-22000000000000000000000000000000002-22-22-22-22200-2-2000000000000000000000000000000
χ622222-22-2-22-2-222-2-22-22-22-222-2-2-2-22-222-2222-2-222-2-2200000000000000000000000000000000-22-22-22-22-2-20022000000000000000000000000000000
χ632222-22-2-22-2-222-2-22-22-22-222-2-2-2-22-222-222-222-2-222-2000000000000000000000000000000002-22-22-22-2-2-20022000000000000000000000000000000
χ642222-22-2-22-2-222-2-22-22-22-222-2-2-2-22-222-222-222-2-222-200000000000000000000000000000000-22-22-22-222200-2-2000000000000000000000000000000
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χ662222-2-222-2-2-2-2222-2-22-222-2-22-2-22-222-2-2220000000000000000000000002-2-222-2-2200000000-222-2-222-200000000000000000000000000000000-22-22
χ672222-2-222-2-2-2-2222-2-22-222-2-22-2-22-222-2-222000000000000000000000000-222-2-222-2000000002-2-222-2-2200000000000000000000000000000000-22-22
χ682222-2-222-2-2-2-2222-2-22-222-2-22-2-22-222-2-222000000000000000000000000-222-2-222-200000000-222-2-222-2000000000000000000000000000000002-22-2
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χ702-2-22222-2-2-2-2-22-2222-22222-2-2-2-2-2222-22-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000002-2-2200000000000000000000
χ712-2-22222-2-2-2-2-22-2222-22222-2-2-2-2-2222-22-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000002-2-2200000000000000000000
χ722-2-22222-2-2-2-2-22-2222-22222-2-2-2-2-2222-22-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000-222-200000000000000000000
χ732-2-22222-2-2-2-2-22-2222-2-2-2-2-222222-2-2-22-22222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000000000002-2-2200000000
χ742-2-22222-2-2-2-2-22-2222-2-2-2-2-222222-2-2-22-22222-2-2-2-222-2-22222-2-200000000000000000000000000000000000000000000000000000000-222-200000000
χ752-2-22222-2-2-2-2-22-2222-2-2-2-2-222222-2-2-22-222-2-22222-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000-222-200000000
χ762-2-22222-2-2-2-2-22-2222-2-2-2-2-222222-2-2-22-222-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000000000002-2-2200000000
χ772-2-222-2-222-2-2222-2-22-222-2-222-2-22-2-2222-2-2000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000-222-2000000000000000000000000
χ782-2-222-2-222-2-2222-2-22-222-2-222-2-22-2-2222-2-2000000002i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i000000000000000000000000000000002-2-22000000000000000000000000
χ792-2-222-2-222-2-2222-2-22-222-2-222-2-22-2-2222-2-200000000−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i000000000000000000000000000000002-2-22000000000000000000000000
χ802-2-222-2-222-2-2222-2-22-222-2-222-2-22-2-2222-2-200000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000-222-2000000000000000000000000
χ812-2-222-2-2-2-22-22-2222-2222-2-2-2-22-2222-22-22-200000000000000002-2-22-222-2000000000000000022-2-2-2-222002-200-220000000000000000000000000000
χ822-2-222-2-2-2-22-22-2222-2222-2-2-2-22-2222-22-22-200000000000000002-2-22-222-20000000000000000-2-22222-2-200-22002-20000000000000000000000000000
χ832-2-222-2-2-2-22-22-2222-2222-2-2-2-22-2222-22-22-20000000000000000-222-22-2-22000000000000000022-2-2-2-22200-22002-20000000000000000000000000000
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Here i is the imaginary unit (i² = −1).